A fusion system over a p-group S is a category whose objects form the set of all subgroups
of S, whose morphisms are certain injective group homomorphisms, and which satisfies …

We develop the fundamentals of Mackey functors in the setup of fusion systems including an
acyclicity condition as well as a parametrization and an explicit description of simple Mackey …

We show how every p–local compact group can be described as a telescope of p–local finite
groups. As a consequence, we deduce several corollaries, such as a stable elements …

We show that the abelian monoid of isomorphism classes of G-stable finite S-sets is free for
a finite group G with Sylow p-subgroup S; here a finite S-set is called G-stable if it has …

Abstract Let SG⁎ be the Brown poset of nonidentity p-subgroups of the finite group G
ordered by inclusion. Results of Bouc and Quillen show that SG⁎ is homotopy equivalent to …

Let G be a finite group and pa prime number. We compute the Euler characteristic in the
sense of Leinster for some categories of nonidentity p-subgroups of G. The p-subgroup …

We construct a well-behaved transfer map from the p-local Burnside ring of the underlying p-
group S to the p-local Burnside ring of a saturated fusion system F. Using this transfer map …

This note describes an application of the theory of generalised Burnside rings to algebraic
representation theory. Tables of marks are given explicitly for the groups S4 and S5 which …

In this paper we give a definition of (centric) Mackey functor over a fusion system (Definition
2.26, Definition 2.29) which generalizes the notion of Mackey functor over a group. In this …

Let X be the set of all p-centric subgroups of a finite group G and a prime p. This paper
shows that the certain submodule Ω (G, X)(p) of the Burnside ring Ω (G)(p) of G over the …