We introduce some deformations of the biset category and prove a semisimplicity property.
We also consider another group category, called the subgroup category, whose morphisms …

For a suitable small category F of homomorphisms between finite groups, we introduce two
subcategories of the biset category, namely, the deflation Mackey category MF← and the …

We define the subgroup category, a category on the class of finite groups where the
morphisms are given by the subgroups of the direct products and the composition is the star …

A generalized correspondence functor is a functor from the category of finite sets and T-
generalized correspondences to the category of all k-modules, where T is a finite distributive …