Pseudofinite groups as fixed points in simple groups of finite Morley rank

Pınar Uğurlu

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arXiv · 1201.6317

Pseudofinite groups as fixed points in simple groups of finite Morley rank

Pınar Uğurlu

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Abstract

We prove that if the group of fixed points of a generic automorphism of a simple group of finite Morley rank is pseudofinite, then this group is an extension of a (twisted) Chevalley group over a pseudofinite field. On the way to obtain this result, we classify non-abelian definably simple pseudofinite groups of finite centralizer dimension (using the ideas of John S. Wilson).

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Pınar Uğurlu. 2012-01-30. Pseudofinite groups as fixed points in simple groups of finite Morley rank. https://arxiv.org/abs/1201.6317

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