Weakly commensurable S-arithmetic subgroups in almost simple algebraic groups of types B and C
Group Theory
2013-09-26 v1 Number Theory
Abstract
Let G and G' be absolutely almost simple algebraic groups of types B and C respectively, of rank at least 3, and defined over a number field K. We determine when G and G' have the same isomorphism or isogeny classes of maximal K-tori. This leads to the necessary and sufficient conditions for two Zariski-dense S-arithmetic subgroups of G and G' to be weakly commensurable.
Keywords
Cite
@article{arxiv.1205.1458,
title = {Weakly commensurable S-arithmetic subgroups in almost simple algebraic groups of types B and C},
author = {Skip Garibaldi and Andrei S. Rapinchuk},
journal= {arXiv preprint arXiv:1205.1458},
year = {2013}
}