The classification of rank 3 reflective hyperbolic lattices over

DOI10.1017/S0305004116000979zbMath1499.11236arXiv1512.01133OpenAlexW3104934544MaRDI QIDQ4575298

Alice Mark

Publication date: 13 July 2018

Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1512.01133

Mathematics Subject Classification ID

Reflection and Coxeter groups (group-theoretic aspects) (20F55) Quadratic forms over global rings and fields (11E12) Reflection groups, reflection geometries (51F15) Quadratic forms (reduction theory, extreme forms, etc.) (11H55)

Uses Software

• PARI/GP

Cites Work

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• Arithmetic Fuchsian groups of genus zero.
• Finiteness of arithmetic hyperbolic reflection groups
• Groups of automorphisms of unimodular hyperbolic quadratic forms over the ring \({\mathbb{Z}}[(\sqrt{5}+1)/2\)]
• Arithmetic triangle groups
• Hyperbolic reflection groups
• ON ARITHMETIC GROUPS GENERATED BY REFLECTIONS IN LOBACHEVSKY SPACES
• ON THE CLASSIFICATION OF ARITHMETIC GROUPS GENERATED BY REFLECTIONS IN LOBACHEVSKY SPACES
• The reflective Lorentzian lattices of rank 3
• Finiteness of the number of arithmetic groups generated by reflections in Lobachevsky spaces
• ON GROUPS OF UNIT ELEMENTS OF CERTAIN QUADRATIC FORMS

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