Small groups of finite Morley rank with a supertight automorphism

2020/12/17 by Ulla Karhumäki, Karhumäki, Ulla, Pınar Uğurlu +1 · 1 citation
Mathematics · #Advanced Topology and Set Theory #Finite Group Theory Research #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2012.09582

Abstract

Let G be an infinite simple group of finite Morley rank and of Prüfer 2-rank 1 which admits a supertight automorphism α such that the fixed-point subgroup C_G(αⁿ) is pseudofinite for all integers n > 0. We prove that G ≅ \rm PGL₂(K) for some algebraically closed field K of characteristic ≠ 2.

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• The Şiş Kebap Theorem: A Generic Identification Theorem for Groups of Finite Morley Rank

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