English

Finite groups with a certain number of cyclic subgroups

History and Overview 2015-06-30 v1

Abstract

In this short note, we describe the finite groups GG having G1|G|-1 cyclic subgroups. This leads to a nice characterization of the symmetric group S3S_3.

Keywords

Cite

@article{arxiv.1502.06906,
  title  = {Finite groups with a certain number of cyclic subgroups},
  author = {Marius Tarnauceanu},
  journal= {arXiv preprint arXiv:1502.06906},
  year   = {2015}
}

Comments

accepted for publication in Amer. Math. Monthly

R2 v1 2026-06-22T08:36:52.455Z