English

A note on invariant transversals for normal subgroups

Group Theory 2026-03-10 v2

Abstract

The existence of invariant transversals for a normal subgroup HH in a group GG is investigated. This yields counterexamples to a conjecture in case HH is abelian and GG is finite.

Keywords

Cite

@article{arxiv.2603.02922,
  title  = {A note on invariant transversals for normal subgroups},
  author = {Gerhard Hiss},
  journal= {arXiv preprint arXiv:2603.02922},
  year   = {2026}
}

Comments

Revised version, including two new examples, following comments of Gunter Malle

R2 v1 2026-07-01T11:00:54.883Z