2018/11/27 by Tuna Altınel, Altinel, Tuna, Ayşe Berkman +3
Mathematics · #Advanced Operator Algebra Research #Advanced Topology and Set Theory #FOS: Mathematics #Finite Group Theory Research #Logic (math.LO) #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.1811.10854
openalex publication_date 2018/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01
A sharply 2-transitive permutation group of finite Morley rank and characteristic 2 splits; a split sharply 2-transitive permutation group of finite Morley rank and characteristic different from 2 is the group of affine transformations of an algebraically closed field. In particular, a sharply 2-transitive permutation group of finite Morley rank of characteristic 3 is the group of affine transformations of an algebraically closed field of characteristic 3. Without any assumption on Morley rank, a sharply 2-transitive permutation group of characteristic 0 splits if its point stabilizers are virtually abelian.