On F-hypercentral and F-hypereccentric modules for finite soluble groups
Donald W. Barnes
TL;DR
This paper extends concepts from Lie and Leibniz algebra theory to finite soluble groups, focusing on F-hypercentral and F-hypereccentric modules, and proves their analogues in group theory.
Contribution
It introduces and proves the group theory analogues of F-hypercentral and F-hypereccentric modules, previously studied in Lie and Leibniz algebras.
Findings
Established the group theory counterparts of algebraic results
Proved properties of F-hypercentral modules in finite soluble groups
Analyzed the structure of F-hypereccentric modules in this context
Abstract
I prove the group theory analogues of some Lie and Leibniz algebra results on F-hypercentral and F-hypereccentric modules.
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Taxonomy
TopicsAdvanced Algebra and Geometry · Algebraic structures and combinatorial models · Advanced Topics in Algebra