Cohomology of Kac-Moody groups over a finite field

TL;DR

This paper calculates the mod p cohomology algebra of certain infinite rank two Kac-Moody groups over finite fields, providing new insights into their algebraic structure.

Contribution

It offers the first explicit computation of the mod p cohomology for this class of Kac-Moody groups, expanding understanding of their topological and algebraic properties.

Findings

Explicit cohomology algebra formulas derived

Identification of structural patterns in cohomology

Extension of known results to infinite-dimensional groups

Abstract

We compute the mod $p$ cohomology algebra of a family of infinite discrete Kac-Moody groups of rank two defined over finite fields of characteristic different from $p$.