the coprime graph of a group

Authors

xuan long ma

hua quan wei

li ying yang

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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Journal title:
international journal of group theory

Publisher: university of isfahan

ISSN 2251-7650

volume 3

issue 3 2014

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