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math.NT2022
Criterion for surjectivity of localization in Galois cohomology of a reductive group over a number field
Mikhail Borovoi, Zev Rosengarten
Let be a connected reductive group over a number field , and let be a set (finite or infinite) of places of . We give a necessary and sufficient condition for the sur…
math.AG2022
The first and second homotopy groups of a homogeneous space of a complex linear algebraic group
Mikhail Borovoi
Let be a homogeneous space of a connected linear algebraic group defined over the field of complex numbers . Let be a point. We denote by $…
math.GR2022★ 1 cited
A short proof of Timashev's theorem on the real component group of a real reductive group
Mikhail Borovoi, Ofer Gabber
Using results of Cartan, Matsumoto, and Casselman, we give a short proof of Timashev's theorem computing the real component group π_0 G(R) of a connected reductive real algebraic g…