Frontiers of Mathematics in China >

2013 , Vol. 8 >Issue 6: 1295 - 1306

DOI: https://doi.org/10.1007/s11464-013-0299-5

RESEARCH ARTICLE

On minimal non-I N I-groups

  • Zhangjia HAN 1,2 ,
  • Guiyun CHEN , 1 ,
  • Huaguo SHI 3
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  • 1. School of Mathematics and Statistics, Southwest University, Chongqing 400715, China
  • 2. School of Mathematics, Chengdu University of Information Technology, Chengdu 610225, China
  • 3. Sichuan Vocational and Technical College, Suining 629000, China

Received date: 13 Jun 2012

Accepted date: 25 Feb 2013

Published date: 01 Dec 2013

Copyright

2014 Higher Education Press and Springer-Verlag Berlin Heidelberg
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Abstract

A finite group G is called an I N I-group if every proper subgroup H of G is either subnormal in G or self-normalizing. We determinate the structure of non-I N I-groups in which all proper subgroups are I N I-groups.

Key words： Subnormal subgroup; self-normalizing subgroup; I N I-group; minimal non-I N I-group

Cite this article

Zhangjia HAN , Guiyun CHEN , Huaguo SHI . On minimal non-I N I-groups[J]. Frontiers of Mathematics in China, 2013 , 8(6) : 1295 -1306 . DOI: 10.1007/s11464-013-0299-5

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