On subgroups which cover or avoid chief factors of a finite group
Abstract
A classical topic of research in Finite Group Theory is the following:
What is the influence on the structure of the group of the fact that all members of some relevant family of subgoups enjoy a given embedding property?
The cover-avoidance property is a subgroup embedding property that has recovered much attention in the last few years. In this survey article we present a number of results showing that its influence goes much further from the classical upersolubility.
Keywords
Finite group; cover-avoidance property; \(p\)-supersoluble groups; saturated formation
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