English

Isomorphisms of Groups of Kac-Moody Type Over $\mathbb{F}_2$

Group Theory 2025-04-07 v1

Abstract

In \cite{CM06} Caprace and M\"uhlherr solved the isomorphism problem for Kac-Moody groups of non-spherical type over finite fields of cardinality at least 44. In this paper we solve the isomorphism problem for RGD-systems (e.g.\ Kac-Moody groups) over F2\mathbb{F}_2 whose type is 22-complete and A~2\tilde{A}_2-free.

Keywords

Cite

@article{arxiv.2504.03568,
  title  = {Isomorphisms of Groups of Kac-Moody Type Over $\mathbb{F}_2$},
  author = {Sebastian Bischof},
  journal= {arXiv preprint arXiv:2504.03568},
  year   = {2025}
}