Triangle groups as subgroups of unitary groups

DOI10.1006/jabr.2001.8945zbMath0998.20032OpenAlexW2093289049MaRDI QIDQ5958876

Maria Chiara Tamburini, Maxim Vsemirnov, Vitaliy Mysovskikh

Publication date: 25 November 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.8945

zbMATH Keywords

Hermitian formsunitary groupstracestriangle groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Cyclotomic extensions (11R18) Linear algebraic groups over adèles and other rings and schemes (20G35)

Related Items (2)

On the primitive divisors of the recurrent sequence \(u_{n+1}=(4\cos^2(2\pi/7)-1)u_{n}-u_{n-1}\) with applications to group theory ⋮ Hurwitz Groups and Hurwitz Generation

Uses Software

• GAP

Cites Work

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• Classical groups of large rank as Hurwitz groups.
• \((2,3,k)\)-generated groups of large rank
• Subgroups of finite index of Fuchsian groups
• Subgroups of infinite index in Fuchsian groups
• Hurwitz Groups and G₂(q)
• Generators for Alternating and Symmetric Groups
• MORE ON GENERATORS FOR ALTERNATING AND SYMMETRIC GROUPS
• The Symmetric Genus of Sporadic Groups
• Hurwitz Groups of Large Rank
• On hurwitz groups of low rank
• Simple images of triangle groups

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