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arXiv · 1801.09133

Finite groups with two relative subgroup commutativity degrees

Mihai-Silviu Lazorec·Marius Tărnăuceanu
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Abstract

In this paper we show that there is an infinite number of finite groups with two relative subgroup commutativity degrees. Also, we indicate a sufficient condition such that a finite group has at least three relative subgroup commutativity degrees and we prove that $D_6$ is the only finite dihedral group with two relative commutativity degrees. Finally, we study the density of the set containing all subgroup commutativity degrees of finite groups.

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Mihai-Silviu Lazorec, Marius Tărnăuceanu. 2018-01-27. Finite groups with two relative subgroup commutativity degrees. https://arxiv.org/abs/1801.09133

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