Turkish Journal of Mathematics
Abstract
We prove the conjugacy of Sylow $2$-subgroups in pseudofinite $\mathfrak{M}_c$ (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 nonconjugate finite Sylow $2$-subgroups, which was constructed by Platonov.
DOI
10.3906/mat-1604-11
First Page
1458
Last Page
1466
Recommended Citation
KOWALSKİ, PINAR UĞURLU
(2017)
"A note on the conjugacy problem for finite Sylow subgroups of linear pseudofinite groups,"
Turkish Journal of Mathematics: Vol. 41:
No.
6, Article 8.
https://doi.org/10.3906/mat-1604-11
Available at:
https://journals.tubitak.gov.tr/math/vol41/iss6/8
