Toroidal maps of modular quotient groups

DOI10.1016/S0012-365X(97)00222-7zbMath0956.20046OpenAlexW2092140904MaRDI QIDQ1584270

R. Smith

Publication date: 2 November 2000

Published in: Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0012-365x(97)00222-7

zbMATH Keywords

toroidal mapsmodular quotient groupssymmetric trivalent graphs

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Unimodular groups, congruence subgroups (group-theoretic aspects) (20H05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) General geometric structures on low-dimensional manifolds (57M50)

Cites Work

• The trivalent symmetric graphs of girth at most six
• Hamiltonian circuits in some maps on the torus
• Classification of the toroidal groups
• On proulx's four exceptional toroidal groups
• Lectures on Modular Forms. (AM-48)
• Classification of Normal Subgroups of the Modular Group
• A Complete Description of the Normal Subgroups of Genus One of the Modular Group
• Self-dual configurations and regular graphs
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