English

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 D6D_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.

Keywords

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

R2 v1 2026-06-22T23:59:29.410Z