## Algebra & Number Theory

### Dress induction and the Burnside quotient Green ring

#### 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.

#### Article information

Source
Algebra Number Theory, Volume 3, Number 5 (2009), 511-541.

Dates
Revised: 1 May 2009
Accepted: 4 May 2009
First available in Project Euclid: 20 December 2017

https://projecteuclid.org/euclid.ant/1513797447

Digital Object Identifier
doi:10.2140/ant.2009.3.511

Mathematical Reviews number (MathSciNet)
MR2578887

Zentralblatt MATH identifier
1213.19001

#### Citation

Hambleton, Ian; Taylor, Laurence; Williams, Bruce. Dress induction and the Burnside quotient Green ring. Algebra Number Theory 3 (2009), no. 5, 511--541. doi:10.2140/ant.2009.3.511. https://projecteuclid.org/euclid.ant/1513797447

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