English

Minimal odd order automorphism groups

Group Theory 2009-05-08 v1

Abstract

We show that 3^7 is the smallest order of a non-trivial odd order group which occurs as the full automorphism group of a finite group.

Cite

@article{arxiv.0905.0993,
  title  = {Minimal odd order automorphism groups},
  author = {Peter Hegarty and Desmond MacHale},
  journal= {arXiv preprint arXiv:0905.0993},
  year   = {2009}
}

Comments

11 pages, no figures. Manuscript accepted for publication

R2 v1 2026-06-21T12:59:09.738Z