Turkish Journal of Mathematics
DOI
10.3906/mat-1604-11
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.
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
