Isomorphisms of Groups of Kac-Moody Type Over \mathbbF₂

2025/04/04 by Sebastian Bischof, Bischof, Sebastian
Computer Science · Mathematics · #20E36 #20E42 #22E65 #51E24 #Advanced Algebra and Geometry #Coding theory and cryptography #FOS: Mathematics #Finite Group Theory Research #Group Theory (math.GR)

paper · pdf · doi:10.48550/arxiv.2504.03568

openalex publication_date 2025/04/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In \citeCM06 Caprace and Mühlherr solved the isomorphism problem for Kac-Moody groups of non-spherical type over finite fields of cardinality at least 4. In this paper we solve the isomorphism problem for RGD-systems (e.g. Kac-Moody groups) over \mathbbF₂ whose type is 2-complete and A₂-free.

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