English

On Sylow theory for linear pseudofinite groups

Group Theory 2023-04-18 v1 Logic

Abstract

We prove the conjugacy of Sylow pp-subgroups of linear pseudofinite groups under the assumption of the existence of a finite Sylow pp-subgroup. We also give an example of a linear pseudofinite group with non-conjugate Sylow 22-subgroups.

Keywords

Cite

@article{arxiv.2304.07752,
  title  = {On Sylow theory for linear pseudofinite groups},
  author = {Pınar Uğurlu},
  journal= {arXiv preprint arXiv:2304.07752},
  year   = {2023}
}
R2 v1 2026-06-28T10:07:23.967Z