Submission date: 16 April 2023

Abstract:

Turkish J. Math. 41 (2017), no. 6, 1458-1466 DOI: 10.3906/mat-1604-11

We prove the conjugacy of Sylow 2-subgroups in pseudofinite M_c (in particular linear) groups under the assumption that there is at least one finite Sylow 2-subgroup. We observe the importance of the pseudofiniteness assumption by analyzing an example of a linear group with non-conjugate finite Sylow 2-subgroups which was constructed by Platonov.

Mathematics Subject Classification: 20G99, 03C20

Keywords and phrases:

Full text arXiv 2304.07753: pdf, ps