#### 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
##### Milestones
Received: 27 March 2008
Revised: 1 May 2009
Accepted: 4 May 2009
Published: 9 November 2009
##### Authors
 Ian Hambleton McMaster University Department of Mathematics & Statistics Hamilton, ON  L8S 4K1 Canada Laurence R. Taylor University of Notre Dame Department of Mathematics Notre Dame, IN 46556 United States Bruce Williams University of Notre Dame Department of Mathematics Notre Dame, IN 46556 United States