Dress induction and the Burnside quotient Green ring

Ian Hambleton; Laurence Taylor; Bruce Williams

doi:10.2140/ant.2009.3.511

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Home > Journals > Algebra Number Theory > Volume 3 > Issue 5 > Article

2009 Dress induction and the Burnside quotient Green ring

Ian Hambleton, Laurence Taylor, Bruce Williams

Algebra Number Theory 3(5): 511-541 (2009). DOI: 10.2140/ant.2009.3.511

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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.

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Ian Hambleton. Laurence Taylor. Bruce Williams. "Dress induction and the Burnside quotient Green ring." Algebra Number Theory 3 (5) 511 - 541, 2009. https://doi.org/10.2140/ant.2009.3.511

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Received: 27 March 2008; Revised: 1 May 2009; Accepted: 4 May 2009; Published: 2009

First available in Project Euclid: 20 December 2017

zbMATH: 1213.19001

MathSciNet: MR2578887

Digital Object Identifier: 10.2140/ant.2009.3.511

Subjects:

Primary: 20C15

Secondary: 18F25 , 19A22 , 57R67

Keywords: Dress induction , Mackey functors , surgery obstruction groups

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Ian Hambleton, Laurence Taylor, Bruce Williams "Dress induction and the Burnside quotient Green ring," Algebra & Number Theory, Algebra Number Theory 3(5), 511-541, (2009)

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