FINITE GROUPS WITH THE MAXIMAL PERMUTIZER CONDITION-Reference-Cited by-同舟云学术

FINITE GROUPS WITH THE MAXIMAL PERMUTIZER CONDITION

Published:2013-05-07 Issue:05 Volume:12 Page:1250217
ISSN:0219-4988
Container-title:Journal of Algebra and Its Applications
language:en
Short-container-title:J. Algebra Appl.

Author:

QIAO SHOUHONG¹²,QIAN GUOHUA³,WANG YANMING⁴

Affiliation:

1. School of Applied Mathematics, Guangdong University of Technology, Guangzhou, 510006, P. R. China

2. School of Mathematics and Statistics, Yunnan University, Kunming, Yunnan, 650031, P. R. China

3. Department of Mathematics, Changshu Institute of Technology, Changshu, Jiangsu, 215500, P. R. China

4. Lingnan College and School of Mathematics, Sun Yat-sen University, Guangzhou, 510275, P. R. China

Abstract

A group G is said to satisfy the maximal permutizer condition if the permutizer of any maximal subgroup M of G is equal to G. In this note, a characterization is given of finite groups which satisfy the maximal permutizer condition.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Algebra and Number Theory

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219498812502179

Reference5 articles.

1. On Finite Groups Satisfying the Permutizer Condition

2. Finite Soluble Groups

3. Implications of Permutizers of Some Subgroups in Finite Groups

4. Influence of permutizers of subgroups on the structure of finite groups

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