%0 Journal Article
%A Hempel, Nadja
%A Palacín Cruz, Daniel
%T Centralizers in pseudo-finite groups
%D 2021
%@ 0021-8693
%U https://hdl.handle.net/20.500.14352/98546
%X 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.
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