K_0 of invariant rings and nonabelian H^1

Mathematics – Rings and Algebras

Scientific paper

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Scientific paper

We give a description of the kernel of the induction map K_0(R)->K_0(S),
where S is a commutative ring and R is the ring of invariants of the action of
a finite group G on S. The description is in terms of H^1(G,GL(S)).

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