2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/77256We 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)).Rings and AlgebrasCommutative AlgebraK-Theory and Homology13A50; 13D15; 16E20; 16W20; 18G50; 19A49text