Defining-relations for Hurwitz groups

DOI10.1017/S0017089500030974zbMath0835.20042OpenAlexW2009092576MaRDI QIDQ4313574

Colin M. Campbell, Marston D. E. Conder, Edmund F. Robertson

Publication date: 14 April 1996

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s0017089500030974

zbMATH Keywords

extensionsorderindexsimple groupstriangle groupsHurwitz groupscoset enumerationmetabelian \(2\)-groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Finite simple groups and their classification (20D05)

Related Items (4)

\(PSL\left( 2,7\right) \) and carbon allotrope \(D\)168 schwarzite ⋮ Maximal automorphism groups of symmetric Riemann surfaces with small genus ⋮ An update on Hurwitz groups ⋮ The genus of compact Riemann surfaces with maximal automorphism group

Cites Work

• The groups \((2,3,p;q)\); asphericity and a conjecture of Coxeter
• Hurwitz groups: A brief survey
• Presentations for the simple groups g, l0⁵≪ |g| < 10⁶
• Cayley graphs and group presentations
• A Cohomological Criterion for a Finitely Presented Group to be Infinite

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