\(p\)-permutation modules provide an algebraic link between permutation representations and modular representation theory. In this talk we will (i) recall the definition and main properties of \(p\)-permutation modules over a field \(k\), (ii) explain how the assignment

\(G\mapsto\) (Grothendieck group of the category of \(p\)-permutation \(kG\)-modules)

naturally has the structure of a (fibered) biset functor, and (iii) state and sketch proofs of the main structural results describing composition factors as (fibered) biset functor.

This is a joint work with Robert Boltje and Çisil Karagüzel.