English

A classification of primitive permutation groups with finite stabilizers

Group Theory 2015-02-13 v2

Abstract

We classify all infinite primitive permutation groups possessing a finite point stabilizer, thus extending the seminal Aschbacher-O'Nan-Scott Theorem to all primitive permutation groups with finite point stabilizers.

Keywords

Cite

@article{arxiv.1109.5432,
  title  = {A classification of primitive permutation groups with finite stabilizers},
  author = {Simon M. Smith},
  journal= {arXiv preprint arXiv:1109.5432},
  year   = {2015}
}

Comments

Accepted in J. Algebra. Various changes, some due to the author, some due to suggestions from readers and others due to the comments of anonymous referees

R2 v1 2026-06-21T19:10:03.606Z