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Minimal Non Self Dual Groups

Published online by Cambridge University Press:  20 November 2018

Lili Li
Affiliation:
School of Mathematics and Computation Science, Lingnan Normal University, Zhanjiang, China e-mail: [email protected]
Guiyun Chen
Affiliation:
(Corr. Author) School of Mathematics and Statistics, Southwest University, Chongqing, China e-mail: [email protected]
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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.

Type
Research Article
Copyright
Copyright © Canadian Mathematical Society 2015

References

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