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arXiv · 2409.13796

Cyclic Subgroup Graph of a Group

Khyati Sharma·A. Satyanarayana Reddy
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Abstract

A cyclic subgroup graph of a group $G$ is a graph whose vertices are cyclic subgroups of $G$ and two distinct vertices $H_1$ and $H_2$ are adjacent if $H_1\leq H_2$, and there is no subgroup $K$ such that $H_1<K<H_2$. M.T\u{a}rn\u{a}uceanu gave the formula to count the number of edges of these graphs. In this paper, we explore various properties of these graphs.

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Khyati Sharma, A. Satyanarayana Reddy. 2024-09-20. Cyclic Subgroup Graph of a Group. https://arxiv.org/abs/2409.13796

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