Vol. 3, No. 5, 2009

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Dress induction and the Burnside quotient Green ring

Ian Hambleton, Laurence R. Taylor and Bruce Williams

Vol. 3 (2009), No. 5, 511–541
Abstract

We define and study the Burnside quotient Green ring of a Mackey functor, introduced in our 1990 MSRI preprint. Some refinements of Dress induction theory are presented, together with applications to computation results for $K$-theory and $L$-theory of finite and infinite groups.

Keywords
Dress induction, Mackey functors, surgery obstruction groups
Mathematical Subject Classification 2000
Primary: 20C15
Secondary: 18F25, 57R67, 19A22