Isomorphisms of unitary forms of Kac-Moody groups over finite fields

TL;DR

This paper addresses the isomorphism problem for unitary forms of infinite split Kac-Moody groups over finite fields of square order, employing advanced methods to establish criteria for group isomorphisms.

Contribution

It provides a solution to the isomorphism problem for these groups, extending previous work with new techniques specific to unitary forms over finite fields.

Findings

Solved the isomorphism problem for unitary forms of infinite split Kac-Moody groups.

Developed methods applicable to groups over finite fields of square order.

Established criteria for isomorphism classification of these groups.

Abstract

We use methods developed by Caprace and M\"uhlherr to solve the isomorphism problem of unitary forms of infinite split Kac-Moody groups over finite fields of square order.