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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The author is grateful to the reviewer for remarks which improve the previous version of the paper.
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Tărnăuceanu, M. On the number of edges of cyclic subgroup graphs of finite groups. Arch. Math. 120, 349–353 (2023). https://doi.org/10.1007/s00013-023-01846-1
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DOI: https://doi.org/10.1007/s00013-023-01846-1