Abstract simplicity of complete Kac-Moody groups over finite fields.

DOI10.1016/j.jpaa.2008.03.023zbMath1157.20018arXivmath/0612772OpenAlexW2129671680MaRDI QIDQ932284

Lisa Carbone, William Gordon Ritter, Mikhail V. Ershov

Publication date: 10 July 2008

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0612772

zbMATH Keywords

simple groupsKac-Moody groupscomplete groupsgeneralized Cartan matricesBN-pairs

Mathematics Subject Classification ID

Simple groups (20E32) Kac-Moody (super)algebras; extended affine Lie algebras; toroidal Lie algebras (17B67) Discrete subgroups of Lie groups (22E40) Groups with a (BN)-pair; buildings (20E42) Limits, profinite groups (20E18) Groups as automorphisms of other structures (22F50)

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Cites Work

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• Topological groups of Kac-Moody type, right-angled twinnings and their lattices.
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• Lectures on Chevalley Groups
• EXISTENCE OF LATTICES IN KAC–MOODY GROUPS OVER FINITE FIELDS
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