English

Normality degrees of finite groups

Group Theory 2013-12-06 v1

Abstract

In this paper we introduce and study the concept of normality degree of a finite group GG. This quantity measures the probability of a random subgroup of GG to be normal. Explicit formulas are obtained for some particular classes of finite groups. Several limits of normality degrees are also computed.

Keywords

Cite

@article{arxiv.1312.1427,
  title  = {Normality degrees of finite groups},
  author = {Marius Tarnauceanu},
  journal= {arXiv preprint arXiv:1312.1427},
  year   = {2013}
}
R2 v1 2026-06-22T02:21:18.640Z