Finite soluble groups with an Engel condition
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This article is published in Journal of Algebra.The article was published on 1969-03-01 and is currently open access. It has received 11 citations till now.read more
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Non-Nilpotent Graph of a Group
TL;DR: In this article, the authors studied the graph theoretical properties of 𝒩 G and its induced subgraph on G ǫ ∈ G Ω(G) where n is the number of vertices in a non-nilpotent subgroup.
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Non-nilpotent graph of a group
TL;DR: In this paper, the authors studied the graph theoretical properties of finite nilpotent groups in terms of the non-nilpotent graph of the group and proved that a finite group $G$ is not a group if and only if the set of vertex degrees has at most two elements.
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Sous-groupes de Hall généralisés dans les groupes résolubles de rang de Morley fini
TL;DR: The notion of sous-groupes de Hall as mentioned in this paper generalises the notion of elements d'ordre infini in the sense that the elements of a group can be regrouped.
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The theory of groups
TL;DR: The theory of normal subgroups and homomorphisms was introduced in this article, along with the theory of $p$-groups regular $p-groups and their relation to abelian groups.
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On the p‐Length of p‐Soluble Groups and Reduction Theorems for Burnside's Problem
Peter Hall,Graham Higman +1 more