On the existence of isotropic forms of semi-simple algebraic groups over number fields with prescribed local behavior.

DOI10.1016/j.aim.2006.01.001zbMath1132.20024OpenAlexW1964600271MaRDI QIDQ855510

Andrei S. Rapinchuk, Gopal Prasad

Publication date: 7 December 2006

Published in: Advances in Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aim.2006.01.001

zbMATH Keywords

Galois cohomologylatticesarithmetic subgroupsconnected semisimple algebraic groups over number fieldsisotropic forms of semisimple groups

Mathematics Subject Classification ID

Discrete subgroups of Lie groups (22E40) Linear algebraic groups over global fields and their integers (20G30) Linear algebraic groups over local fields and their integers (20G25) Galois cohomology of linear algebraic groups (11E72)

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Cites Work

• Volumes of S-arithmetic quotients of semi-simple groups. With an appendix by Moshe Jarden and Gopal Prasad
• Addendum to: Finiteness theorems for discrete subgroups of bounded covolume in semi-simple groups
• Subgroup growth and congruence subgroups
• A.D. Alexandrov spaces with curvature bounded below
• Linear algebraic groups.
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