Li, Lili; Chen, Guiyun Minimal non self dual groups. (English) Zbl 1332.20013 Can. Math. Bull. 58, No. 3, 538-547 (2015). Authors’ summary: 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. Reviewer: Marius Tărnăuceanu (Iaşi) MSC: 20D15 Finite nilpotent groups, \(p\)-groups 20D30 Series and lattices of subgroups 20D10 Finite solvable groups, theory of formations, Schunck classes, Fitting classes, \(\pi\)-length, ranks Keywords:minimal non self-dual groups; finite groups; metacyclic groups; metabelian groups PDFBibTeX XMLCite \textit{L. Li} and \textit{G. Chen}, Can. Math. Bull. 58, No. 3, 538--547 (2015; Zbl 1332.20013) Full Text: DOI