scispace - formally typeset
Search or ask a question

What are groups? 


Best insight from top research papers

Groups are bounded collections of interacting individuals who are interdependent to varying degrees. They can be task-oriented or sentiment-oriented, and the members can be unique or substitutable. The study of groups focuses on the collective phenomena that emerge within them, such as social embedding, norms, motivations, and status structures. These phenomena have a significant influence on behavior, which is often studied by psychologists . Groups share common features, and any adequate theory of groups must capture these features. Existing views of groups, such as non-singular pluralities, fusions, aggregates, and sets, fail to capture all the criteria. A view of groups as realizations of structures offers a comprehensive understanding. Groups are entities with structure, and they exist when the group structure is realized. This view captures the criteria for groups and provides a substantive answer to the question of what groups are . A group is a set of distinct elements with a binary multiplication law. It has properties such as equality, homomorphism, normal sub-groups, quotient group, class, class multiplication coefficient, and function on a group. Groups have applications in representation theory and physics . In mathematics, a group is an abstract object with elements and an operation that satisfies certain axioms. A representation of a group realizes its elements as geometric symmetries . In organizations, groups are communities of individuals who interact to achieve specific goals. Group behaviors within organizations have both positive and negative influences on structure and function .

Answers from top 3 papers

More filters
Papers (3)Insight
Book ChapterDOI
01 Jan 1959
15 Citations
Groups are sets of distinct elements with a binary multiplication law, where equality of group elements is reflexive, symmetric, and transitive.
Book ChapterDOI
01 Jan 2015
7 Citations
Groups refer to collections of individuals who are interdependent and can be task-oriented or sentiment-oriented, such as friendship groups, clubs, and teams.
Journal ArticleDOI
65 Citations
Groups are entities with structure that exist when each functionally defined node or place is occupied, according to the paper.

Related Questions

What is facebook group?5 answersA Facebook group is a virtual space within the Facebook platform where users with common interests can come together to interact, share resources, and collaborate. These groups serve various purposes, such as supporting learning and promoting cooperation among educators during the COVID-19 pandemic, facilitating language acquisition through educational activities like vocabulary development, listening, and writing skills enhancement, and connecting diasporic communities to their homeland by providing an alternative public sphere for communication and networking. Facebook groups have been found to be effective tools for learning, promoting social connectedness, and enhancing engagement among participants.
What is a focus group?5 answersA focus group is a carefully planned discussion involving approximately seven to ten participants, facilitated by a skilled moderator in a comfortable and nonthreatening environment. This qualitative research methodology encourages interaction among participants and the moderator to explore their perspectives on a specific topic, generating rich and in-depth data. Focus groups are increasingly popular in various fields, including healthcare, to gather insights from participants' experiences and opinions for service development and research purposes. Key components of a focus group include a skilled moderator, suitable participants, an appropriate setting, and effective implementation of the discussion process, often involving open-ended questions and non-verbal cues to enhance data collection. Overall, focus groups offer a valuable method for obtaining perceptions and understanding diverse viewpoints in a collaborative and interactive setting.
What are ingroup?4 answersIngroups are social groupings to which individuals feel a sense of belonging, shared similarities, and a strong sense of togetherness. Ingroup membership involves emotional significance, evoking liking, trust, solidarity, and cooperation towards fellow members, contrasting with outgroups. People tend to favor their ingroups over outgroups, even when groups are arbitrarily formed, leading to potential negative attitudes or hostility towards outgroups. Strong ingroup ties have been linked to better mental health outcomes and reduced inflammatory immune responses, with rumination playing a mediating role. Furthermore, behavioral estimates in self-reports are influenced by ingroup norms, with participants relying more on scale frequency properties associated with ingroup behaviors.
Definition of the term groups?4 answersA 'group' refers to a bounded collection of interacting individuals who are functionally, cognitively, and structurally interdependent to various degrees. Groups can be task- or sentiment-oriented and can vary in the uniqueness or substitutability of their members. The collective phenomena that emerge in groups are an important focus of sociological study, including social embedding, norms, collectively induced motivations, and status structures. Groups are communities consisting of individuals who interact with each other to accomplish a certain goal. They can have both positive and negative influences on the structure and function of organizations. In mathematics, groups are defined as algebraic structures, and examples such as permutation groups are discussed. Additionally, groups can be identified in the analysis of spatio-temporal data collected from moving entities, where a group refers to a set of entities that travel together for a sufficiently long period of time.
What is a group?5 answersA group refers to a bounded collection of interacting individuals who are functionally, cognitively, and structurally interdependent to various degrees. Groups can be task- or sentiment-oriented and can vary in the uniqueness or substitutability of their members. In mathematics, a group is an abstract mathematical object that consists of a set of elements and an operation satisfying certain axioms. In the context of representation theory, abstract finite groups are groups whose elements are represented by symbols that satisfy a group multiplication table. In the field of digital image management, a group is a set of unordered digital images that can be visually represented using a representative image or by each digital image in the group. In organizational settings, a group is a community of individuals who interact with each other to achieve a specific goal, and their behaviors can have both positive and negative influences on the organization.
What is in-group?3 answersAn in-group is a social grouping in which an individual feels a sense of belonging, shared similarities, and a sense of togetherness. In-group membership is not solely based on cognitive classification, but also involves emotional significance. In-group affiliation leads to liking, trust, solidarity, and cooperation among its members, which is not extended to out-groups. According to the self-categorization theory of group formation, a group comes into existence when its members perceive themselves as belonging to a certain category. In-group attraction and similarity depend on the salience of the in-group, and this effect is stronger for highly identified group members.

See what other people are reading

What is local studies for cutting classes?
5 answers
Local studies for cutting classes involve evaluating the efficiency and impact of specific cutting practices within a defined context. For instance, a study conducted at Ohio State University Libraries assessed the extent of effort dedicated to cuttering practices and proposed limiting cuttering to certain classes (M, N, and P) to reduce workload without significant negative effects on service quality. In a different context, local algorithms in random hypergraphs were found to be ineffective in finding nearly maximal cuts when the average degree is high, due to the overlap gap property that restricts the values of cut overlaps in such structures. These studies highlight the importance of local assessments and optimizations in cutting practices to enhance efficiency and outcomes within specific settings.
What is a hom lie algebra?
5 answers
A Hom-Lie algebra is a generalization of Lie algebras that emerges in the study of nonassociative algebraic structures. It extends the concepts of solvable and nilpotent Lie algebras. Additionally, Hom-Lie algebras are linked to $q$-deformations of Witt and Virasoro algebras and are associated with embedding tensors, inducing Hom-Leibniz algebra structures. Furthermore, Hom-Lie groups introduce a group-like multiplication on a manifold, twisted by an isomorphism, as proposed by Jiang et al.. Moreover, 3-Hom-Lie superalgebras are constructed on commutative Hom-superalgebras using involution and even degree derivation, with representations induced by supertrace. These diverse contexts highlight the broad applications and theoretical developments surrounding Hom-Lie algebras in various mathematical and algebraic settings.
How to test for false memory?
10 answers
Testing for false memory involves various methodologies and paradigms, each designed to explore different aspects of how false memories are generated and recognized. One common approach is the Deese-Roediger-McDermott (DRM) paradigm, which induces false memories by presenting participants with lists of semantically related words, leading them to falsely remember non-presented critical lure words. This paradigm has been widely used to study the phenomenon across different age groups, revealing an increase in false memories with aging. Another method involves using stimulus equivalence classes to test false memories, where participants learn associations between stimuli and later are tested on their recognition of these stimuli, including non-presented but related items. This approach can also extend to respondent-type training procedures to generate derived false memories, highlighting the role of stimulus equivalence in the emergence of false memories. Experimental investigations have also compared false memory generation through semantic and category associates, examining the influence of retention intervals and modes of retrieval on the generation of false memories. Similarly, the study of false memories in disorders like PTSD and BPD has utilized disorder-specific material in the DRM paradigm to disentangle the effects of these conditions on false memory formation. Research has also explored the role of future thinking in the generation of false memories, showing that imagining future events can enhance the activation of related items, leading to an increase in false memories. Additionally, the study of false memories in the context of common, easily recognizable logos has demonstrated how attentional saturation and misinformation effects can disrupt memory accuracy. In sum, testing for false memory can be achieved through a variety of experimental paradigms and methodologies, each providing unique insights into the mechanisms underlying the formation and recognition of false memories.
What is the intuitionistic fuzzy equivalence on the max-min product?
5 answers
The intuitionistic fuzzy equivalence on the max-min product is a concept that arises in the study of intuitionistic fuzzy graphs. Intuitionistic fuzzy models, particularly in graph theory, offer a more adaptable approach when dealing with uncertain aspects of problems. The max-min product of two intuitionistic fuzzy graphs plays a crucial role in deriving intuitionistic fuzzy equivalence relations on product lattices under norms. Additionally, the complement of max product of intuitionistic fuzzy graphs is defined, and the degree of a vertex in this complement is analyzed. Furthermore, the concept of multiplicative equivalence of intuitionistic fuzzy sets is proposed, along with other possible equivalence relations. These findings collectively contribute to a deeper understanding of intuitionistic fuzzy equivalence in various graph-theoretic applications.
Can S.A.Q. training improve overall performance in backstroke swimming, and if so, how?
5 answers
S.A.Q. (Speed, Agility, and Quickness) training has shown significant improvements in swimming performance, particularly in backstroke swimming. Studies have indicated that S.A.Q. drills have a positive impact on swimming performance. Additionally, a combined in-water resisted and assisted training program has been found to enhance backstroke performance, especially in longer distances like the 100m, with females benefiting more than males. Furthermore, incorporating upper body exercises in training sessions has been shown to significantly improve backstroke performance in swimmers. Therefore, a structured S.A.Q. training regimen, along with specific backstroke-focused exercises, can lead to enhanced overall performance in backstroke swimming by improving speed, agility, and technique.
What is the latest research on stability index for buildings?
4 answers
The latest research on stability index for buildings includes various methodologies. One study focuses on evaluating the stability of slender RC bridge columns under seismic and gravity loads, highlighting the importance of current stability indexes. Another research introduces a stability index construction method based on machine learning, combining SVM with the Ridge regression algorithm to enhance stability judgment and emergency control precision. Additionally, dynamic stability analyses for structures, especially tall buildings and space structures, are increasingly utilizing effective energy criteria to identify dynamic stability through energy indices. Furthermore, a study emphasizes the significance of accurately determining stability results for construction sites above goafs in mineral resource-based cities, utilizing a comprehensive evaluation index system and weight determination methods.
What is the vector representation in C3v double group?
5 answers
The vector representation in the C3v double group involves the application of the Non-Rigid Molecular Group (NRG) Theory, which deals with three-dimensional problems of molecules with specific symmetries. Additionally, the use of quasi-Hopf algebras based on 3-cocycles with values in $ {R} / {Z} $ plays a significant role in mathematical and physical applications, offering perspectives for topological invariants computation and classification programs. Furthermore, the Gibbs-Rodrigues representation provides an efficient method for handling rotations in three-dimensional space, where rotations are represented as three-dimensional vectors parallel to the axis of rotation, closely related to quaternion representations. These approaches collectively contribute to the understanding and analysis of vector representations in the C3v double group.
What is local study?
5 answers
Local study refers to the examination and analysis of specific areas or communities to understand their unique characteristics, history, and culture. It involves conducting research within a limited geographical area to gather information about the local environment, people, and events. Local study can encompass various fields such as history, sociology, and education, aiming to preserve and promote the knowledge and heritage of a particular locality. This type of study often involves exploring local libraries and archives to uncover valuable information about the area's past and present. Additionally, local study can involve collaborative efforts, like lesson study in Mathematics education, where students participate in designing research lessons to develop local instructional theory. Overall, local study plays a crucial role in preserving local heritage, promoting community engagement, and advancing knowledge in specific geographical areas.
When a and a^2 are roots of same irreducible polynomial?
5 answers
When a and a^2 are roots of the same irreducible polynomial, it implies that the lengths of principal diagonals of Young diagrams for the respective partitions of a number n differ by at most 1. This scenario is significant in the context of polynomials with integer coefficients and their roots. For instance, in the study of irreducible polynomials with real roots expressed as continued fractions, identifying those with common tails is a key focus. Additionally, the connection between the geometry of polynomial roots and algebraic properties highlights results like Kronecker's theorem on roots lying on the unit circle and the existence of Salem numbers with roots outside this circle. These insights contribute to understanding the distribution and properties of roots in various mathematical contexts.
How to define rough set in one-dimensional space?
5 answers
In a one-dimensional space, a rough set can be defined as a formal approximation of a crisp set that provides lower and upper approximations of the original set to handle uncertainties. This definition is extended by introducing topologies into rough set theory, which allows for the incorporation of topological facts and techniques in granular computing processes, including the definition of topological membership functions that combine rough and fuzzy set concepts. Moreover, attribute reduction in rough sets plays a crucial role in data mining and machine learning by selecting a subset of attributes that are jointly sufficient and individually necessary to meet specific criteria, thus improving learning performance and reducing overfitting risks. The integration of topological structures and attribute reduction criteria enhances the understanding and application of rough sets in one-dimensional spaces.
What are the key findings or conclusions of the paper by Reynolds L.A., Finlay?
4 answers
The key findings and conclusions of the paper by Reynolds L.A. and Finlay focus on the safety and traffic operational benefits of roundabouts for typical vehicle fleets, emphasizing the importance of accommodating oversize/overweight vehicles (OSOW) at roundabouts to support industries and states' economies. The study highlights the necessity for states to develop a freight network that includes OSOW segments in compliance with state and federal commerce laws and policies, ultimately advocating for designated truck and OSOW networks to enhance transportation efficiency. By emphasizing the significance of accommodating OSOW in roundabout design and location planning, the paper underscores the need for further research and practical considerations to optimize traffic flow and safety for all types of vehicles.