Spectral rigidity and discreteness of 2233-groups

DOI10.1017/S0305004107000758zbMath1140.20038OpenAlexW2119588675MaRDI QIDQ5450708

Peter Buser, K.-D. Semmler, Nicole Flach

Publication date: 13 March 2008

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

Full work available at URL: https://doi.org/10.1017/s0305004107000758

zbMATH Keywords

discrete groupsfundamental domainsnon-conjugate maximal orderssubgroups generated by elliptic elementstrace spectra

Mathematics Subject Classification ID

Structure of modular groups and generalizations; arithmetic groups (11F06) Fuchsian groups and their generalizations (group-theoretic aspects) (20H10) General geometric structures on low-dimensional manifolds (57M50) Fundamental group, presentations, free differential calculus (57M05)

Related Items (1)

Small isospectral and nonisometric orbifolds of dimension 2 and 3

Cites Work

• Small volume isospectral, non-isometric, hyperbolic 2-orbifolds
• Isospectral Riemann surfaces
• Riemannian coverings and isospectral manifolds
• Length spectra as moduli for hyperbolic surfaces
• The geometry and spectrum of the one holed torus
• Isospectral and non-isometric Riemannian manifolds
• Mutually isospectral Riemann surfaces
• Diskrete Untergruppen von \(SL_2 (R)\).
• Constructing Isospectral Manifolds
• An Embedding Theorem for Quaternion Algebras
• Automorphisms of the fuchsian groups op type (0;2,2,2,q;0)
• Length Inequalities for Systems of Geodesic loops on a Surface of Genus Two: 1
• Characters of free groups represented in the two‐dimensional special linear group
• Finitely Maximal Fuchsian Groups
• A picture of moduli space

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