Abstract

This sequel to O. Coşkun (2009) [6] focuses on the structure of the ring Λ ( G ) of subquotients of the finite group G . We show that this ring is isomorphic with the Grothendieck ring of the category of pure ( G , G ) -bisets, which are bisets containing no isogations. We also determine, over a field of characteristic zero, the Mackey functor structure and the primitive idempotents of Λ ( G ) . Main tool of this determination is the marks of subquotients on each other.

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