Article ID Journal Published Year Pages File Type
4586999 Journal of Algebra 2009 20 Pages PDF
Abstract

We introduce the ring Λ(G) of subquotients of a finite group G. As an abelian group, it is free on the set of conjugacy classes of subquotients of the group G. The ring Λ(G) integrally extends the Burnside ring and there is a linearization map with range the Grothendieck ring of the Mackey algebra.

Related Topics
Physical Sciences and Engineering Mathematics Algebra and Number Theory