K_0 of invariant rings and nonabelian H^1

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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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Rings and Algebras, Commutative Algebra, K-Theory and Homology, 13A50; 13D15; 16E20; 16W20; 18G50; 19A49

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http://salesiana.dossiersoluciones.com/handle/123456789/77256

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9808032
 http://arxiv.org/abs/math/9808032

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arXiv