Finitely generated simple sharply 2-transitive groups
Group Theory
2024-11-20 v1
Abstract
We construct the first examples of infinite sharply 2-transitive groups which are finitely generated. Moreover, we construct such a group that has Kazhdan property (T), is simple, has exactly four conjugacy classes, and we show that this number is as small as possible.
Cite
@article{arxiv.2212.06020,
title = {Finitely generated simple sharply 2-transitive groups},
author = {Simon André and Vincent Guirardel},
journal= {arXiv preprint arXiv:2212.06020},
year = {2024}
}