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arXiv · 1510.00129

Coprime graph of subgroups of a group

R. Rajkumar·P. Devi
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Abstract

Let $G$ be a group. We define the coprime graph of subgroups of $G$, denoted by $\mathcal P(G)$, is a graph whose vertex set is the set of all proper subgroups of $G$, and two distinct vertices are adjacent if and only if the order of the corresponding subgroups are coprime. In this paper, we study some connections between algebraic properties of a group and graph theoretic properties of its coprime graph.

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R. Rajkumar, P. Devi. 2015-10-01. Coprime graph of subgroups of a group. https://arxiv.org/abs/1510.00129

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