Frontiers of Mathematics in China >

2011 , Vol. 6 >Issue 5: 847 - 854

DOI: https://doi.org/10.1007/s11464-011-0115-z

RESEARCH ARTICLE

On minimal non-MSN-groups

  • Pengfei GUO 1,2 ,
  • Xiuyun GUO , 3
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  • 1. Department of Mathematics, Lianyungang Teacher’s College, Lianyungang 222006, China
  • 2. Shanghai Institute of Applied Mathematics and Mechanics, Shanghai University, Shanghai 200072, China
  • 3. Department of Mathematics, Shanghai University, Shanghai 200444, China

Received date: 19 Aug 2010

Accepted date: 19 Feb 2011

Published date: 01 Oct 2011

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

A finite group G is called an MSN-group if all maximal subgroups of the Sylow subgroups of G are subnormal in G. In this paper, we determinate the structure of non-MSN-groups in which all of whose proper subgroups are MSN-groups.

Key words： Subnormal group; maximal subgroup; MSN-group; minimal non-MSN-group; automorphism

Cite this article

Pengfei GUO , Xiuyun GUO . On minimal non-MSN-groups[J]. Frontiers of Mathematics in China, 2011 , 6(5) : 847 -854 . DOI: 10.1007/s11464-011-0115-z

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