English

On some probabilistic aspects of (generalized) dicyclic groups

Group Theory 2016-12-07 v1

Abstract

In this paper we study probabilistic aspects such as subgroup commutativity degree and cyclic subgroup commutativity degree of the (generalized) dicyclic groups. We find explicit formulas for these concepts and we provide another example of a class of groups whose (cyclic) subgroup commutativity degree vanishes asymptotically.

Keywords

Cite

@article{arxiv.1612.01967,
  title  = {On some probabilistic aspects of (generalized) dicyclic groups},
  author = {Marius Tărnăuceanu and Mihai-Silviu Lazorec},
  journal= {arXiv preprint arXiv:1612.01967},
  year   = {2016}
}

Comments

23 pages

R2 v1 2026-06-22T17:15:15.719Z