What is a group?
Best insight from top research papers
A 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 .
Answers from top 5 papers
More filters
| Papers (5) | Insight |
|---|---|
Open access•Journal Article | A group is a community of individuals who interact with each other to achieve a specific goal. |
Patent 13 Oct 2010 3 Citations | A group is a set of unordered digital images that can be visually represented using a representative image in one state and by each digital image in the group in another state. |
| A group is a set of distinct elements with a binary multiplication law. The paper discusses abstract finite groups and their properties. | |
| A group is an abstract mathematical object that consists of a set of elements and an operation that satisfies certain axioms. | |
| A group refers to a bounded collection of interacting individuals who are functionally, cognitively, and structurally interdependent to various degrees. |
Related Questions
What is the significance of group theory?4 answersGroup theory is a fundamental aspect of abstract algebra with wide-ranging applications in various fields such as crystallography, quantum mechanics, and computer science. It provides a systematic approach to understanding the symmetry of objects and functions, allowing for simplified calculations and problem-solving in quantum mechanics and spectroscopy. In crystallography, group theory helps analyze the macroscopic symmetry of crystals and explain atomic spectra. Additionally, group theory has important applications in computer science, including combination technology, coding theory, and information security. The study of group theory has led to the development of other algebraic structures and enriched research methods in mathematics and statistics. Overall, group theory plays a crucial role in understanding and analyzing the properties and behaviors of various systems in science and technology.
What is group work?5 answersGroup work refers to a classroom approach where students collaborate in teams to complete complex tasks. It involves interdependence, accountability, face-to-face interactions, social skills, and group-level reflection. Group work is a form of intervention in which social workers guide or lead groups with a common purpose to achieve individual or collective goals. The essence of group work is the benefit that comes from being together with others who share something in common, often in the context of social work. Group work has a long history in social work and can be used for various strategies, including ameliorative or adaptive approaches. It can be a powerful educational tool, fostering social skills and enhancing learning when implemented thoughtfully.
What is a focus group?5 answersA focus group is a research methodology where a small group of participants gather to discuss a specific topic or issue in order to generate data and opinions. The main characteristic of a focus group is the interaction between the moderator and the group, as well as the interaction between group members. The objective of a focus group is to provide the researcher with an understanding of the participants' perspective on the topic being discussed. Focus groups are gaining popularity in health and medical research, and they are often used in service development and participatory research. Focus groups typically consist of eight to twelve individuals and are conducted with a moderator present to guide the discussion.
What is group study?5 answersGroup study is a method of learning where individuals come together in a group to study and collaborate on academic tasks. It involves sharing ideas, time management, cooperation, and collective responsibility. Group study has been found to improve intellectual abilities, stimulate interest, increase confidence, and enhance classroom management strategies. It also helps develop social skills, practice assertiveness, and improve communication skills. Group study allows students to articulate their knowledge, listen to others' ideas, and learn from diverse perspectives. It prepares students for teamwork in future work environments and enhances cognitive skills. Effective group leadership and selecting group members who are motivated, responsible, and tolerant of others' ideas are important for successful group study. Overall, study groups have been reported to be effective forums for enhancing cognitive and affective learning outcomes.
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.
What is minority groups?5 answersMinority groups are defined as groups of people who share a common background, language, and identity, and have beliefs and behaviors that differ from other ethnic groups. These groups may include racial, ethnic, religious, or linguistic minorities. The term "minority" is often used to describe groups that have a relatively lower social status compared to the majority population. It is important to note that population size is not a determining factor in classifying a group as a minority. Discrimination and exclusion from full participation in society are key factors in identifying a group as a minority. Minority groups can contribute to the economic growth and development of local, regional, and national economies. In the United States, minority groups include African Americans, Spanish-speaking Americans, Chinese-Americans, Japanese-Americans, American Indians, and various low-income groups.