Strongly closed subgroups of finite groups
Ram\'on J. Flores, Richard M. Foote
TL;DR
This paper provides a comprehensive classification of finite groups that possess a strongly closed p-subgroup for any prime p, enhancing understanding of subgroup structures in finite group theory.
Contribution
It offers a complete classification of finite groups with strongly closed p-subgroups, a previously unresolved problem in group theory.
Findings
Complete classification of such groups
Identification of structural properties related to strongly closed subgroups
Clarification of subgroup behavior in finite groups
Abstract
This paper gives a complete classification of the finite groups that contain a strongly closed p-subgroup for p any prime.
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Taxonomy
TopicsFinite Group Theory Research · Rings, Modules, and Algebras · Homotopy and Cohomology in Algebraic Topology