On minimal non-<inline-formula><mml:math xmlns:mml=

doi:10.1007/s11464-013-0299-5

Front Math Chin

2013, Vol. 8

Issue (6) : 1295-1306 https://doi.org/10.1007/s11464-013-0299-5

RESEARCH ARTICLE

On minimal non-I N I-groups

Zhangjia HAN^1,2, Guiyun CHEN¹(

), Huaguo SHI³

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

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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.

Keywords Subnormal subgroup self-normalizing subgroup I N I-group')" href="#">I N I-group I N I-group')" href="#">minimal non-I N I-group

Corresponding Author(s): CHEN Guiyun,Email:gychen1963@163.com

Issue Date: 01 December 2013

Cite this article:

Zhangjia HAN,Guiyun CHEN,Huaguo SHI. On minimal non-I N I-groups[J]. Front Math Chin, 2013, 8(6): 1295-1306.

URL:

https://academic.hep.com.cn/fmc/EN/10.1007/s11464-013-0299-5
https://academic.hep.com.cn/fmc/EN/Y2013/V8/I6/1295

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