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JOURNALS // Algebra and Discrete Mathematics // Archive

Algebra Discrete Math., 2012 Volume 14, Issue 1, Pages 132–144 (Mi adm88)

This article is cited in 1 paper

SURVEY ARTICLE

On the $\mathcal F$-hypercentre of a finite group

Alexander N. Skiba

Department of Mathematics, Francisk Skorina Gomel State University, Gomel 246019, Belarus

Abstract: Our main goal here is to give a short survey of some recent results of the theory of the $\mathcal F$-hypercentre of finite groups.

Keywords: saturated formation, hereditary formation, ${\mathcal F}$-critical group, $\mathcal F$-maximal subgroup, ${\mathcal F}$-hypercentre, soluble group, nilpotent group, supersoluble group, boundary condition.

MSC: 20D10, 20D15, 20D20

Received: 28.04.2012
Revised: 22.05.2012

Language: English



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