An algorithm to construct arithmetic Fuchsian groups derived from quaternion algebras and the corresponding hyperbolic lattices.

DOI10.1016/j.jpaa.2015.10.006zbMath1341.20046OpenAlexW1797005277MaRDI QIDQ899564

Reginaldo jun. Palazzo, Cintya Wink de Oliveira Benedito, J. Carmelo Interlando

Publication date: 30 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.jpaa.2015.10.006

zbMATH Keywords

Riemann surfaceshyperbolic tessellationsarithmetic Fuchsian groups

Mathematics Subject Classification ID

Compact Riemann surfaces and uniformization (30F10) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Tilings in (2) dimensions (aspects of discrete geometry) (52C20) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Topological linear incidence structures (51H10)

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