Sharply 2-transitive groups of finite Morley rank
Logic
2024-03-20 v2 Rings and Algebras
Abstract
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.
Keywords
Cite
@article{arxiv.1811.10854,
title = {Sharply 2-transitive groups of finite Morley rank},
author = {Tuna Altinel and Ayse Berkman and Frank Olaf Wagner},
journal= {arXiv preprint arXiv:1811.10854},
year = {2024}
}