Acta Mathematica Hungarica
Volume/Issue:
Volume 133: Issue 4
On G-covering subgroup systems of finite groups
Authors:
Wenbin Guo Department of Mathematics, University of Science and Technology of China, Hefei 230026, P. R. Chinae-mail: wbguo@ustc.edu.cn
Department of Mathematics, Xuzhou Normal University, Xuzhou 221116, P. R. China

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Alexander N. Skiba Department of Mathematics, Francisk Skorina Gomel State University, Gomel 246019, Belarus

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Pages:
376–386
Online Publication Date:
05 Mar 2011
Publication Date:
01 Dec 2011
Article Category:
Research Article
DOI:
https://doi.org/10.1007/s10474-011-0088-0
Keywords:
supplement of subgroup; Sylow subgroup; maximal subgroup; metanilpotent group; 20D10; 20D15; 20D20
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Abstract

Let be a class of groups and G a finite group. We call a set Σ of subgroups of G a G-covering subgroup system for if whenever . Let p be any prime dividing |G| and P a Sylow p-subgroup of G. Then we write Σp to denote the set of subgroups of G which contains at least one supplement to G of each maximal subgroup of P. We prove that the sets Σp and Σp∪Σq, where q≠p, are G-covering subgroup systems for many classes of finite groups.

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Cover Acta Mathematica Hungarica
Acta Mathematica Hungarica
Print ISSN:
0236-5294
Online ISSN:
1588-2632

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Acta Mathematica Hungarica
Language English
Size B5
Year of
Foundation		 1950
Volumes
per Year		 3
Issues
per Year		 6
Founder Magyar Tudományos Akadémia  
Founder's
Address		 H-1051 Budapest, Hungary, Széchenyi István tér 9.
Publisher Akadémiai Kiadó
Springer Nature Switzerland AG
Publisher's
Address		 H-1117 Budapest, Hungary 1516 Budapest, PO Box 245.
CH-6330 Cham, Switzerland Gewerbestrasse 11.
Responsible
Publisher		 Chief Executive Officer, Akadémiai Kiadó
ISSN 0236-5294 (Print)
ISSN 1588-2632 (Online)

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