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

2026/08/02 by Ayşe Berkman, Alexandre V. Borovik
Mathematics · #math.GR #math.LO #msc:20F11 #msc:03C60

paper · pdf

10 pages

arxiv created 2026/08/02 · arxiv updated 2026/08/04

Abstract

This paper contains a new version of a final identification theorem for the `generic' groups of finite Morley rank, developing further the results of [4] and [5]. It is prepared for use in the Hrushovski Programme of classification of infinite simple groups of finite Morley rank.

Citations

• Primitive permutation groups of finite Morley rank and affine type
• Groups Acting Generically Multiply Transitively on Solvable Groups
• Small groups of finite Morley rank with a supertight automorphism
• Pseudofinite groups as fixed points in simple groups of finite Morley rank
• Uniqueness Cases in Odd Type Groups of Finite Morley Rank, Revisited
• A Generic Identification Theorem for Groups of Finite Morley Rank, Revisited