arXiv subjects

I. Hambleton

Publications and source records attributed to I. Hambleton.

2 recordsLinked to original sources

arXiv2010

Mackey functors and bisets

For any finite group G, we define a bivariant functor from the Dress category of finite G-sets to the conjugation biset category, whose objects are subgroups of G, and whose morphisms are generated by certain bifree bisets. Any additive functor from the conjugation biset category to abelian groups yields a Mackey functor by composition. We characterize the Mackey functors which arise in this way.

math.GR↗

arXiv2009

Dress induction and the Burnside quotient Green ring

We define and study the Burnside quotient Green ring of a Mackey functor. 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.

math.GR↗