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Existence and Non-Existence of Torsion in Maximal Arithmetic Fuchsian Groups

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Publication:5189809
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DOI10.1515/GCC.2009.287zbMath1195.20053OpenAlexW2027729907MaRDI QIDQ5189809

Colin Maclachlan

Publication date: 11 March 2010

Published in: Groups – Complexity – Cryptology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/gcc.2009.287


zbMATH Keywords

quaternion algebrasarithmetic Fuchsian groupscommensurability classes


Mathematics Subject Classification ID

Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Fuchsian groups and automorphic functions (aspects of compact Riemann surfaces and uniformization) (30F35) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Orders in separable algebras (16H10)


Related Items (3)

Galois action on Fuchsian surface groups and their solenoids ⋮ Fake quadrics from irreducible lattices acting on the product of upper half planes ⋮ An intriguing hyperelliptic Shimura curve quotient of genus 16




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