Reflections in extended Bianchi groups

DOI10.1017/S0305004100071887zbMath0813.20056MaRDI QIDQ4299867

L. Ya. Vulakh

Publication date: 30 May 1995

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

zbMATH Keywords

Hermitian formsconjugacy classes of reflectionsCoxeter subgroup of finite indexextended Bianchi groupFuchsian subgrouphyperbolic reflection

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) Other geometric groups, including crystallographic groups (20H15) Reflection groups, reflection geometries (51F15)

Related Items (6)

DIOPHANTINE APPROXIMATION IN $\mathbf{Q}(\sqrt{-5})$ AND $\mathbf{Q}(\sqrt{-6})$ ⋮ Diophantine approximation in \(\mathbb{Q}(\sqrt{-30})\), \(\mathbb{Q}(\sqrt{-33})\) and \(\mathbb{Q}(\sqrt{-57})\) ⋮ Conjugacy classes of symmetries in orthogonal groups ⋮ MINIMA OF BINARY INDEFINITE HERMITIAN FORMS ⋮ HERMITIAN POINTS IN MARKOV SPECTRA ⋮ DIOPHANTINE APPROXIMATION IN IMAGINARY QUADRATIC FIELDS

Cites Work

• Unnamed Item
• Zeta-functions of binary Hermitian forms and special values of Eisenstein series
• Generators and relations for certain special linear groups
• Discontinuous groups on three-dimensional hyperbolic space: analytical theory and arithmetic applications
• Classification of Maximal Fuchsian Subsgroups of Some Bianchi Groups

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