Finite Groups with Some s-semipermutable subgroups
Yangming Li

TL;DR
This paper explores how s-semipermutable subgroups affect the structure of finite groups, generalizing recent results to deepen understanding of subgroup influence in group theory.
Contribution
It introduces the concept of s-semipermutability and extends existing results to analyze their impact on finite group structure.
Findings
s-semipermutable subgroups influence group structure
generalization of recent results in subgroup theory
criteria for subgroup influence on finite groups
Abstract
Suppose that is a finite group and is a subgroup of . We say that is s-semipermutable in if for any Sylow -subgroup of with . We investigate the influence of s-semipermutable subgroups on the structure of finite groups. Some recent results are generalized.
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Taxonomy
TopicsFinite Group Theory Research · Coding theory and cryptography · graph theory and CDMA systems
