Complete hyperbolic lattices derived from tessellations of type {4g,4g}

DOI10.1142/S0219498816501577zbMath1351.52021OpenAlexW2109964776MaRDI QIDQ2816930

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

Publication date: 26 August 2016

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0219498816501577

zbMATH Keywords

hyperbolic geometryquaternion orderquaternion algebrahyperbolic latticeregular tesselationarithmetic Fuchsian group

Mathematics Subject Classification ID

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)

Related Items (3)

On geometrically uniform codes and topological quantum MDS codes ⋮ Uniformization of hyperelliptic curves as a systematic approach to establishing decision regions of hyperbolic signal sets ⋮ Algebraic construction of lattices via maximal quaternion orders

Cites Work

• Edge-pairing isometries and counting Dirichlet domains on the densest tessellation \(\{12g-6,3\}\) for signal set design
• Signal constellations in the hyperbolic plane: a proposal for new communication systems
• Nonuniform Fuchsian codes for noisy channels
• Hyperbolic Lattices with Complete Labeling Derived from {4g, 4g} Tessellations
• A new multilevel coding method using error-correcting codes
• On fundamental domains of arithmetic Fuchsian groups
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