Congruence Subgroups of Lattices in Rank 2 Kac–Moody Groups over Finite Fields

DOI10.1080/00927872.2015.1012673zbMath1346.20067OpenAlexW2254239372MaRDI QIDQ2810539

Lisa Carbone, Abid Ali

Publication date: 1 June 2016

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00927872.2015.1012673

zbMATH Keywords

latticesgraphs of groupscongruence subgroupsKac-Moody groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Discrete subgroups of Lie groups (22E40) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Groups as automorphisms of other structures (22F50) Kac-Moody groups (20G44)

Cites Work

• Unnamed Item
• Uniqueness and presentation of Kac-Moody groups over fields
• Fundamental domains for congruence subgroups of \(\text{SL}_2\) in positive characteristic.
• Covering theory for graphs of groups
• Tree lattices. With appendices by H. Bass, L. Carbone, A. Lubotzky, G. Rosenberg, and J. Tits.
• INFINITE DESCENDING CHAINS OF COCOMPACT LATTICES IN KAC–MOODY GROUPS
• EXISTENCE OF LATTICES IN KAC–MOODY GROUPS OVER FINITE FIELDS