Local Moufang sets and PSL_2 over a local ring
Group Theory
2017-03-16 v4
Abstract
We introduce local Moufang sets as a generalization of Moufang sets. We present a method to construct local Moufang sets from only one root group and one permutation. We use this to describe over a local ring as a local Moufang set, and give necessary and sufficient conditions for a local Moufang set to be of this form.
Keywords
Cite
@article{arxiv.1510.03688,
title = {Local Moufang sets and PSL_2 over a local ring},
author = {Tom De Medts and Erik Rijcken},
journal= {arXiv preprint arXiv:1510.03688},
year = {2017}
}
Comments
23 pages, fixed a problem in Lemma 5.8, where we need an extra assumption. Other results remain unchanged