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How does Diagonal Subgroup Embedding Determine the Structure of a Group?

Research paper by Shouhong Qiao, Guohua Qian; Yanming Wang

Indexed on: 22 Dec '16Published on: 05 Dec '16Published in: Communications in Mathematics and Statistics



Abstract

Let G be a finite group. Let \(D =\{(g, g) g\in G\}\) , the main diagonal subgroup of \(G\times G\) . In this paper, we consider the suitable generalized normalities or index of D in \(G\times G\) , some interesting results are obtained. Let G be a finite group. Let \(D =\{(g, g) g\in G\}\) , the main diagonal subgroup of \(G\times G\) . In this paper, we consider the suitable generalized normalities or index of D in \(G\times G\) , some interesting results are obtained.G \(D =\{(g, g) g\in G\}\) \(D =\{(g, g) g\in G\}\) \(G\times G\) \(G\times G\)D \(G\times G\) \(G\times G\)