English

On a theorem of Ledermann and Neumann

Group Theory 2019-10-01 v1

Abstract

We give a short and self-contained proof of a theorem of Ledermann and Neumann stating that there are only finitely many finite groups with a given number of automorphisms. We also discuss the history of related conjectures.

Keywords

Cite

@article{arxiv.1909.13220,
  title  = {On a theorem of Ledermann and Neumann},
  author = {Benjamin Sambale},
  journal= {arXiv preprint arXiv:1909.13220},
  year   = {2019}
}

Comments

an expanded version will appear in Amer. Math. Monthly, 7 pages