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arXiv · 2304.07752

On Sylow theory for linear pseudofinite groups

Pınar Uğurlu
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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.

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Pınar Uğurlu. 2023-04-16. On Sylow theory for linear pseudofinite groups. https://arxiv.org/abs/2304.07752

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