Frobenius Green functors

TL;DR

This paper introduces Frobenius Green functors derived from Morava $K$-theory applied to classifying spaces of finite groups, highlighting their algebraic structure in algebraic topology.

Contribution

It identifies the algebraic properties of Green functors arising from Morava $K$-theory on classifying spaces, connecting topology and algebra.

Findings

Characterization of Frobenius Green functors in this context

Identification of key algebraic structures involved

Insights into the interaction between Morava $K$-theory and classifying spaces

Abstract

These notes provide an informal introduction to a type of Mackey functor that arises naturally in algebraic topology in connection with Morava $K$-theory of classifying spaces of finite groups. The main aim is to identify key algebraic aspects of the Green functor structure obtained by applying a Morava $K$-theory to such classifying spaces.