On subgroups which cover or avoid chief factors of a finite group

A. Ballester-Bolinches, Luis M. Ezquerro, Alexander N. Skiba


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.


Finite group; cover-avoidance property; \(p\)-supersoluble groups; saturated formation

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