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- W4302076130 abstract "The role of finite centralizers of involutions in pseudo-finite groups is analyzed. It is shown that a pseudo-finite group admitting a definable involutory automorphism fixing only finitely many elements is finite-by-abelian-by-finite. As a consequence, we give a model-theoretic proof of a result for periodic groups due to Hartley and Meixner. Furthermore, it is shown that any pseudo-finite group has an infinite abelian subgroup." @default.
- W4302076130 created "2022-10-06" @default.
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- W4302076130 date "2017-02-27" @default.
- W4302076130 modified "2023-09-25" @default.
- W4302076130 title "Centralizers in pseudo-finite groups" @default.
- W4302076130 doi "https://doi.org/10.48550/arxiv.1702.08173" @default.
- W4302076130 hasPublicationYear "2017" @default.
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