English

Set-stabilizers in solvable permutation groups

Group Theory 2025-07-01 v2

Abstract

Let G be a finite solvable permutation group. Then modulo a possibly trivial normal elementary abelian 3-subgroup, some set-stabilizer in G is a 2-group.

Keywords

Cite

@article{arxiv.2412.17976,
  title  = {Set-stabilizers in solvable permutation groups},
  author = {David Gluck},
  journal= {arXiv preprint arXiv:2412.17976},
  year   = {2025}
}

Comments

typos corrected, minor changes in introduction, to appear in J. Group Theory

R2 v1 2026-06-28T20:47:25.954Z