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Algebra and Discrete Mathematics, 2009, Issue 4, Pages 18–28 (Mi adm141)  
SURVEY ARTICLE

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

A. Ballester-Bolinchesa, Luis M. Ezquerrob, Alexander N. Skibac

a Universitat de València Departament d'Algebra, Universitat de València, Dr. Moliner, 50, E–46100 Burjassot, València, Spain
b Departamento of Matematícas, Universidad Pública de Navarra, Campus de Arrosadía, E–31006 Pamplona, Navarra, Spain
c Department of Mathematics, Gomel State University F. Skorina, Gomel 246019, Belarus
Full-text PDF (233 kB)
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 supersolubility.
Keywords: Finite group; cover-avoidance property; $p$-supersoluble groups; saturated formation.
Received: 25.07.2009
Revised: 25.07.2009
Bibliographic databases:
Document Type: Article
MSC: 20D10, 20D15, 20D20
Language: English
Citation: A. Ballester-Bolinches, Luis M. Ezquerro, Alexander N. Skiba, “On subgroups which cover or avoid chief factors of a finite group”, Algebra Discrete Math., 2009, no. 4, 18–28
Citation in format AMSBIB
\Bibitem{BalEzqSki09}
\by A.~Ballester-Bolinches, Luis~M.~Ezquerro, Alexander~N.~Skiba
\paper On subgroups which cover or avoid chief factors of a~finite group
\jour Algebra Discrete Math.
\yr 2009
\issue 4
\pages 18--28
\mathnet{http://mi.mathnet.ru/adm141}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2681480}
\zmath{https://zbmath.org/?q=an:1199.20023}
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