a note on the coprime graph of a group
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abstract
in this paper we study the coprime graph of a group $g$. the coprime graph of a group $g$, is a graph whose vertices are elements of $g$ and two distinct vertices $x$ and $y$ are adjacent iff $(|x|,|y|)=1$. in this paper we classify all the groups which the coprime graph is a complete r-partite graph or a planar graph. also we study the automorphism group of the coprime graph.
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Journal title:
international journal of group theoryPublisher: university of isfahan
ISSN 2251-7650
volume
issue Articles in Press 2015
Keywords
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