English

K_0 of invariant rings and nonabelian H^1

Rings and Algebras 2007-05-23 v1 Commutative Algebra K-Theory and Homology

Abstract

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)).

Keywords

Cite

@article{arxiv.math/9808032,
  title  = {K_0 of invariant rings and nonabelian H^1},
  author = {Martin Lorenz},
  journal= {arXiv preprint arXiv:math/9808032},
  year   = {2007}
}