Commensurability classes of arithmetic Kleinian groups and their Fuchsian subgroups

DOI10.1017/S030500410006727XzbMath0632.30043MaRDI QIDQ3769163

Colin Maclachlan, Alan W. Reid

Publication date: 1987

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

zbMATH Keywords

quaternion algebrassubgroup of finite indexarithmetic Kleinian groupsarithmetic Fuchsian groupcommensurability classes of cocompact Kleinian groupselementary Fuchsian subgroups

Mathematics Subject Classification ID

Subgroup theorems; subgroup growth (20E07) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Kleinian groups (aspects of compact Riemann surfaces and uniformization) (30F40)

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Cites Work

• A characterization of arithmetic Fuchsian groups
• Arithmetic triangle groups
• Fuchsian Subgroups of the Picard Group