Acta Mathematica Hungarica
Volume/Issue:
Volume 119: Issue 4
Normal π -complements for finite groups
Authors:
M. Asaad Cairo University Faculty of Science, Department of Mathematics Giza Egypt

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P. Csörgő Eötvös Loránd University Department of Algebra and Number Theory Pázmány Péter sétány 1/C Budapest H-1117 Hungary

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M. Ramadan Cairo University Faculty of Science, Department of Mathematics Giza Egypt

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Pages:
359–364
Online Publication Date:
03 Dec 2007
Publication Date:
01 Jun 2008
Article Category:
Research Article
DOI:
https://doi.org/10.1007/s10474-007-7049-7
Keywords:
normal p -complement; normal π -complement; 20D10; 20D30
Restricted access

Abstract  

Let G be a finite group. For a finite p-group P the subgroup generated by all elements of order p is denoted by Ω1(p). Zhang [5] proved that if P is a Sylow p-subgroup of G, Ω1(P) ≦ Z(P) and NG(Z(P)) has a normal p-complement, then G has a normal p-complement. The object of this paper is to generalize this result.

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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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