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On subgroups which cover or avoid chief factors of a finite group
Репозиторій DSpace/Manakin
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On subgroups which cover or avoid chief factors of a finite group
Інший ID:
000 Mathematics Subject Classification:20D10, 20D15, 20D20.
Посилання:
On subgroups which cover or avoid chief factors of a finite group / A. Ballester-Bolinches, L.M. Ezquerro, A.N. Skiba // Algebra and Discrete Mathematics. — 2009. — Vol. 8, № 4. — С. 18–28. — Бібліогр.: 28 назв. — англ.
Підтримка:
The research of the first author is supported byProyecto MTM2007-68010-C03-02,Ministerio de Educaci ́on y Ciencia de Espa ̃na. The research of the second author issupported byProyecto MTM2007-68010-C03-01, Ministerio de Educaci ́on y Ciencia deEspa ̃na
Дата:
2009
Переглядів:
516
Завантажень:
164
Анотація:
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.
