English

Squares of Conjugacy Classes in Alternating Groups

Group Theory 2023-05-09 v1

Abstract

We extend to alternating groups AnA_n several results about symmetric groups asserting that under various conditions on a conjugacy class, or more generally, a normal subset, CC of SnS_n, we have C2An{1}C^2 \supseteq A_n\setminus\{1\}

Keywords

Cite

@article{arxiv.2305.04806,
  title  = {Squares of Conjugacy Classes in Alternating Groups},
  author = {Michael J. Larsen and Pham Huu Tiep},
  journal= {arXiv preprint arXiv:2305.04806},
  year   = {2023}
}

Comments

13 pages

R2 v1 2026-06-28T10:28:50.876Z