Elementary equivalence of Chevalley groups over fields
Group Theory
2007-05-23 v1 Logic
Abstract
It is proved that (elementary) Chevalley groups and (or and over infinite fields and of characteristics , with weight lattices and , respectively, are elementarily equivalent if and only if the root systems and are isomorphic, the fields and are elementarily equivalent, the lattices and coincide.
Cite
@article{arxiv.math/0702044,
title = {Elementary equivalence of Chevalley groups over fields},
author = {E. I. Bunina},
journal= {arXiv preprint arXiv:math/0702044},
year = {2007}
}
Comments
55 pages