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Amitsur Algebra: Daniel Palacin, "Pseudo-finite groups containing an involution with a finite centralizer" | Einstein Institute of Mathematics

Amitsur Algebra: Daniel Palacin, "Pseudo-finite groups containing an involution with a finite centralizer"

Date: 
Thu, 23/03/201712:00-13:00
Location: 
Manchester 209
Title: Pseudo-finite groups containing an involution with a finite centralizer.
Abstract: An infinite group is said to be pseudo-finite if it is elementarily equivalent to a non-principal ultraproduct of finite groups. Thus, roughly speaking, a pseudo-finite group is a suitable model-theoretic limit of an infinite family of finite groups. The purpose of this talk is to explain how using pseudo-finite groups one can give an alternative proof of the following result of Hartley and Meixner: A finite group G containing an involution x with a centralizer of size n has a normal subgroup H of n-bounded index whose derived subgroup H' is centralized by x. This is joint work with Nadja Hempel.