Quasi-abelian crossed modules and nonabelian cohomology

2011/10/20 by Cristian D. González-Avilés, González-Avilés, Cristian D.
Mathematics · #20G10 (Primary) 20G25 #20G30 (Secondary) #Algebraic Geometry (math.AG) #Algebraic Topology (math.AT) #FOS: Mathematics #Number Theory (math.NT) #math.AG #math.AT #math.NT #msc:20G10 #msc:20G25 #msc:20G30

paper · pdf · doi:10.48550/arxiv.1110.4542

This is the version submitted for publication

arxiv created 2011/12/27 · arxiv updated 2011/12/30

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.

Related

• On the nonabelian cohomology with coefficients in a crossed module
• Galois cohomology of real quasi-connected reductive groups
• Galois cohomology of reductive groups over global fields
• Low-dimensional non-abelian Leibniz cohomology
• Non-Abelian Cohomology and Extensions of Lie Algebras