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On c-normality of finite groups

Part of: Representation theory of groups

Published online by Cambridge University Press:  09 April 2009

M. Asaad  and
M. Ezzat Mohamed
M. Asaad
Affiliation:
Cairo UniversityFaculty of Science Department of Mathematics GizaEgypt e-mail: moasmohs@frcu.eun.eg
M. Ezzat Mohamed
Affiliation:
Cairo UniversityFaculty of Science Department of Mathematics GizaEgypt e-mail: moasmohs@frcu.eun.eg
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Abstract

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A subgroup H of a finite G is said to be c-normal in G if there exists a normal subgroup N of G such that G = HN with H ∩ N ≤ HG = CoreG(H). We are interested in studying the influence of the c–normality of certain subgroups of prime power order on the structure of finite groups.

MSC classification

Secondary: 20D10: Solvable groups, theory of formations, Schunck classes, Fitting classes, $pi$-length, ranks 20D30: Series and lattices of subgroups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 78 , Issue 3 , June 2005 , pp. 297 - 304
Copyright
Copyright © Australian Mathematical Society 2005

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