[PDF][PDF] The algebraic fundamental group and abelian Galois cohomology of reductive algebraic groups
MV Borovoi - 1989 - archive.mpim-bonn.mpg.de
1989•archive.mpim-bonn.mpg.de
… The contribution of the present paper is that we construct the abelian Galois eohomology
and the abe1ianisation map for any reductive group over an aribitrarll fie1d of eharacteristie
O. This enables us to obtain new results eonceming usual, non-abelian Galois cohomology
of reduetive groups over number fjelds. … In this section we define the algebraic
fundamental group 'X'1(GK) of a reduetive group G defined over a field K of chara.cteristic O. …
and the abe1ianisation map for any reductive group over an aribitrarll fie1d of eharacteristie
O. This enables us to obtain new results eonceming usual, non-abelian Galois cohomology
of reduetive groups over number fjelds. … In this section we define the algebraic
fundamental group 'X'1(GK) of a reduetive group G defined over a field K of chara.cteristic O. …
Ei g~ b (KVJG). Then the image of hA in (Mr) tola ia zero, hence hA is the image of some element h EH~ b (K, G). Consider the element h)(e EHa1b (K, G))(n a1 (K, G). Tt is clear that h x e ia contained in the fiber m v
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