Quasi-abelian crossed modules and nonabelian cohomology
  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. 
Cristian D. Gonz\'alez-Avil\'es
math.NT math.AG math.AT