November 8, 2025Open Access

Isomorphisms of Groups of Kac-Moody Type Over F₂

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The isomorphism problem was solved for Kac-Moody groups over finite fields, enhancing understanding of their structures.
Notable focus on groups of non-spherical type and finite fields of cardinality at least 4.
The findings relate to RGD-systems and configurations that are 2-complete and $ ilde{A}_2$-free.
These solutions may enable a deeper investigation into the algebraic properties of such groups.

Implication

Analysis solves the isomorphism problem for Kac-Moody groups over finite fields, indicating new insights into group structures.

Abstract

In {CM06} Caprace and M\"uhlherr 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 F₂ whose type is $2$-complete and Ã₂-free.

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Cite This Study

Sebastian Bischof (2025) studied this question.

synapsesocial.com/papers/690e8b75a5b062d7a4e737c4 https://doi.org/10.48550/arxiv.2504.03568

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Implication

Analysis solves the isomorphism problem for Kac-Moody groups over finite fields, indicating new insights into group structures.

Isomorphisms of Groups of Kac-Moody Type Over F₂

Key Points

Implication

Abstract

Discussion

Cite This Study

Isomorphisms of Groups of Kac-Moody Type Over F₂

Key Points

Implication

Abstract

Discussion

Cite This Study

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