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arXiv 2018-01-27 2 views

Finite groups with two relative subgroup commutativity degrees

Lazorec, Mihai-Silviu · Tărnăuceanu, Marius

Original · EN

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 D₆ 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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