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arXiv · 2302.05784

On the number of edges of cyclic subgroup graphs of finite groups

Marius Tărnăuceanu
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Abstract

In this note, we show that among finite nilpotent groups of a given order or finite groups of a given odd order, the cyclic group of that order has the minimum number of edges in its cyclic subgroup graph. We also conjecture that this holds for arbitrary finite groups.

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Marius Tărnăuceanu. 2023-02-11. On the number of edges of cyclic subgroup graphs of finite groups. https://arxiv.org/abs/2302.05784

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