Geodesic
On subgroups which cover or avoid chief factors of a~finite group
Algebra and discrete mathematics, no. 4 (2009), pp. 18-28

Voir la notice de l'article provenant de la source Math-Net.Ru

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 supersolubility.
Keywords: Finite group; cover-avoidance property; $p$-supersoluble groups; saturated formation. 
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A. Ballester-Bolinches; Luis M. Ezquerro; Alexander N. Skiba. On subgroups which cover or avoid chief factors of a~finite group. Algebra and discrete mathematics, no. 4 (2009), pp. 18-28. http://geodesic.mathdoc.fr/item/ADM_2009_4_a3/