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Submission: 2012, May 14

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.

2010 Mathematics Subject Classification: 20G15 (11E57 14L35 20G30)

Keywords and Phrases:

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