K0 of invariant rings and nonabelian H1

JOURNAL OF ALGEBRA

卷:214

Article

Lorenz, M

关键词: ring of invariants;    group action;    nonabelian 1-cohomology;    Grothendieck group;    induction map;    Galois action;    Hilbert's Theorem 90;   

DOI  :  10.1006/jabr.1998.7725

来源: Elsevier

【 摘 要 】

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 = S-G 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)). (C) 1999 Academic Press.

【 授权许可】

Free