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ON MINIMAL SUBGROUPS OF FINITE GROUPS

Published online by Cambridge University Press:  01 May 2009

M. ASAAD
M. ASAAD*
Affiliation:
Department of Mathematics, Faculty of Science, Cairo University, Giza, Egypt e-mail: moasmo45@hotmail.com
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Abstract

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Let G be a finite group. A minimal subgroup of G is a subgroup of prime order. A subgroup of G is called S-quasinormal in G if it permutes with each Sylow subgroup of G. A group G is called an MS-group if each minimal subgroup of G is S-quasinormal in G. In this paper, we investigate the structure of minimal non-MS-groups (non-MS-groups all of whose proper subgroups are MS-groups).

Keywords

20D1020D20
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 51 , Issue 2 , May 2009 , pp. 359 - 366
Copyright
Copyright © Glasgow Mathematical Journal Trust 2009

References

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