Isomorphisms of Groups of Kac-Moody Type Over $\mathbb{F}_2$
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arXiv
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866908301618315264 |
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| author | Bischof, Sebastian |
| author_facet | Bischof, Sebastian |
| contents | In \cite{CM06} 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 $\mathbb{F}_2$ whose type is $2$-complete and $\tilde{A}_2$-free. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_03568 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Isomorphisms of Groups of Kac-Moody Type Over $\mathbb{F}_2$ Bischof, Sebastian Group Theory 20E36, 20E42, 22E65, 51E24 In \cite{CM06} 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 $\mathbb{F}_2$ whose type is $2$-complete and $\tilde{A}_2$-free. |
| title | Isomorphisms of Groups of Kac-Moody Type Over $\mathbb{F}_2$ |
| topic | Group Theory 20E36, 20E42, 22E65, 51E24 |
| url | https://arxiv.org/abs/2504.03568 |