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

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.

Full text: PDF file (187 kB)
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Bibliographic databases:
MSC: 20D10, 20D15, 20D20
Received: 28.04.2012
Revised: 22.05.2012
Language:

Citation: Alexander N. Skiba, “On the $\mathcal F$-hypercentre of a finite group”, Algebra Discrete Math., 14:1 (2012), 132–144

Citation in format AMSBIB
\Bibitem{Ski12}
\by Alexander~N.~Skiba
\paper On the $\mathcal F$-hypercentre of a finite group
\jour Algebra Discrete Math.
\yr 2012
\vol 14
\issue 1
\pages 132--144
\mathnet{http://mi.mathnet.ru/adm88}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=3052325}
\zmath{https://zbmath.org/?q=an:06140815|1261.20015}


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