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Minimal Non Self Dual Groups

Published online by Cambridge University Press:  20 November 2018

Lili Li  and
Guiyun Chen
Lili Li
Affiliation:
School of Mathematics and Computation Science, Lingnan Normal University, Zhanjiang, China e-mail: hljsys1982@126.com
Guiyun Chen
Affiliation:
(Corr. Author) School of Mathematics and Statistics, Southwest University, Chongqing, China e-mail: gychen1963@163.com
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Abstract

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A group $G$ is self dual if every subgroup of $G$ is isomorphic to a quotient of $G$ and every quotient of $G$ is isomorphic to a subgroup of $G$. It is minimal non self dual if every proper subgroup of $G$ is self dual but $G$ is not self dual. In this paper, the structure of minimal non self dual groups is determined.

Keywords

20D15minimal non self dual groupfinite groupmetacyclic groupmetabelian group
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 58 , Issue 3 , 01 September 2015 , pp. 538 - 547
Copyright
Copyright © Canadian Mathematical Society 2015

References

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