Abstract
Let and be absolutely almost simple algebraic groups of types and , respectively, defined over a number field . We determine when and have the same isomorphism or isogeny classes of maximal -tori. This leads to the necessary and sufficient conditions for two Zariski-dense -arithmetic subgroups of and to be weakly commensurable.
Citation
Skip Garibaldi. Andrei Rapinchuk. "Weakly commensurable $S$-arithmetic subgroups in almost simple algebraic groups of types $\mathsf{B}$ and $\mathsf{C}$." Algebra Number Theory 7 (5) 1147 - 1178, 2013. https://doi.org/10.2140/ant.2013.7.1147
Information