Finite groups with two relative subgroup commutativity degrees
Group Theory
2018-01-30 v1
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 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.
Cite
@article{arxiv.1801.09133,
title = {Finite groups with two relative subgroup commutativity degrees},
author = {Mihai-Silviu Lazorec and Marius Tărnăuceanu},
journal= {arXiv preprint arXiv:1801.09133},
year = {2018}
}
Comments
10 pages