Submission date: 16 April 2023

Abstract:

We prove the conjugacy of Sylow p-subgroups of linear pseudofinite groups under the assumption of the existence of a finite Sylow p-subgroup. We also give an example of a linear pseudofinite group with non-conjugate Sylow 2-subgroups.

Mathematics Subject Classification: 03C20, 20G99

Keywords and phrases:

Full text arXiv 2304.07752: pdf, ps.