Steinberg groups as amalgams

DOI10.2140/ant.2016.10.1791zbMath1360.19003arXiv1307.2689OpenAlexW1679102126MaRDI QIDQ325498

Daniel Allcock

Publication date: 18 October 2016

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.2689

zbMATH Keywords

Steinberg groupCurtis-Tits presentationKac-Moody grouppre-Steinberg group

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Group schemes (14L15) Linear algebraic groups over adèles and other rings and schemes (20G35) Steinberg groups and (K_2) (19C99) Kac-Moody groups (20G44)

Related Items (7)

Presentations: from Kac-Moody groups to profinite and back ⋮ Reflection centralizers in Coxeter groups. ⋮ On centrality of \(\operatorname{K}_2\) for Chevalley groups of type \(\mathsf{E}_\ell\) ⋮ Presentation of hyperbolic Kac-Moody groups over rings. ⋮ Property (\(T\)) for Kac-Moody groups over rings ⋮ Uniqueness of representation–theoretic hyperbolic Kac–Moody groups over ℤ ⋮ A Horrocks-type theorem for even orthogonal \(K_2\)

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