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Quasi-abelian crossed modules and nonabelian cohomology (1110.4542v2)
Published 20 Oct 2011 in math.NT, math.AG, and math.AT
Abstract: We extend the work of M.Borovoi on the nonabelian Galois cohomology of linear reductive algebraic groups over number fields to a general base scheme. As an application, we obtain new results on the arithmetic of such groups over global function fields.
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