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arxiv: math/9808032 · v1 · submitted 1998-08-06 · 🧮 math.RA · math.AC· math.KT

K₀ of invariant rings and nonabelian H¹

classification 🧮 math.RA math.ACmath.KT
keywords descriptionringactioncommutativefinitegivegroupinduction
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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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