Geodesic
Minimal Non Self Dual Groups
Canadian mathematical bulletin, Tome 58 (2015) no. 3, pp. 538-547

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DOI

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.
DOI : 10.4153/CMB-2015-007-9
Mots-clés : 20D15, minimal non self dual group, finite group, metacyclic group, metabelian group 
Li, Lili; Chen, Guiyun. Minimal Non Self Dual Groups. Canadian mathematical bulletin, Tome 58 (2015) no. 3, pp. 538-547. doi: 10.4153/CMB-2015-007-9
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     author = {Li, Lili and Chen, Guiyun},
     title = {Minimal {Non} {Self} {Dual} {Groups}},
     journal = {Canadian mathematical bulletin},
     pages = {538--547},
     year = {2015},
     volume = {58},
     number = {3},
     doi = {10.4153/CMB-2015-007-9},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2015-007-9/}
}
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