The coprime graph of a group

Document Type: Research Paper

Authors

1 Beijing Normal University

2 Guangxi University

3 Guangxi Teachers Education University

Abstract

The coprime graph $\gg$ with a finite group $G$‎ ‎as follows‎: ‎Take $G$ as the vertex set of $\gg$ and join two distinct‎ ‎vertices $u$ and $v$ if $(|u|,|v|)=1$‎. ‎In the paper‎, ‎we explore how the graph‎ ‎theoretical properties of $\gg$ can effect on the group theoretical‎ ‎properties of $G$‎.

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