- Turkish Journal of Mathematics
- Vol: 41 Issue: 6
- A note on the conjugacy problem for finite Sylow subgroups of linear pseudofinite groups
A note on the conjugacy problem for finite Sylow subgroups of linear pseudofinite groups
Authors : Pinar Uğurlu Kowalski
Pages : 1458-1466
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Publication Date : 9999-12-31
Article Type : Makaleler
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.Keywords :