On the geometry of sharply 2-transitive groups
Group Theory
2020-02-14 v1 Logic
Abstract
We show that the geometry associated to certain non-split sharply 2-transitive groups does not contain a proper projective plane. For a sharply 2-transitive group of finite Morley rank we improve known rank inequalities for this geometry and conclude that a sharply 2-transitive group of Morley rank 6 must be of the form for some algebraically closed field .
Keywords
Cite
@article{arxiv.2002.05187,
title = {On the geometry of sharply 2-transitive groups},
author = {Tim Clausen and Katrin Tent},
journal= {arXiv preprint arXiv:2002.05187},
year = {2020}
}