Acta Mathematica Hungarica
Volume/Issue:
Volume 135: Issue 1-2
Some sufficient conditions for a finite group to be supersolvable
Authors:
M. Asaad Department of Mathematics, Faculty of Science, Cairo University, Giza 12613, Egypt

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V. S. Monakhov Department of Mathematics, Francisk Skorina, Gomel State University, Gomel 246019, Belaruse-mail: Victor.Monakhov@gmail.com

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Pages:
168–173
Online Publication Date:
29 Nov 2011
Publication Date:
01 Apr 2012
Article Category:
Research Article
DOI:
https://doi.org/10.1007/s10474-011-0170-7
Keywords:
supersolvable group; permutable subgroup; 20D10; 20D20
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Abstract

This paper represents an attempt to extend and improve the following result of Berkovich: Let G be a group of odd order. Let G=G1G2 such that G1 and G2 are subgroups of G. If the Sylow p-subgroups of G1 and of G2 are cyclic, then G is p-supersolvable.

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  • [3] Berkovich, Y. 1967 On solvable groups of the finite order Mat. Sb. (N.S.) 74 116 75–92.

  • [4] Csörgő, P. 2001 On supersolvability of finite groups Glasgow Math. J. 43 327–333.

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  • [7] Monakhov, V. S., On the product of two groups with cyclic subgroups of index 2, Izv. Akad. Nauk. Belarusi, Ser. Fiz.-Mat. Nauk, (1996), 21–24.

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  • [8] Weinstein, M. (eds.) 1982 Between Nilpotent and Solvable Polygonal Publishing House Passaic.

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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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