Equivalent trace sets for arithmetic Fuchsian groups

DOI10.1090/proc/13194zbMath1355.57017arXiv1312.7771OpenAlexW2242783521MaRDI QIDQ2832842

Grant S. Lakeland

Publication date: 14 November 2016

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

Full work available at URL: https://arxiv.org/abs/1312.7771

zbMATH Keywords

modular groupFuchsian groupclosed geodesicsBianchi groupisospectral surfaces

Mathematics Subject Classification ID

Geometric group theory (20F65) General geometric structures on low-dimensional manifolds (57M50)

Related Items (1)

Traces, lengths, axes and commensurability

Uses Software

• Magma

Cites Work

• Unnamed Item
• Unnamed Item
• Riemannian coverings and isospectral manifolds
• A characterization of arithmetic Fuchsian groups
• The Magma algebra system. I: The user language
• The Bianchi groups are separable on geometrically finite subgroups.
• A covering theorem for hyperbolic 3-manifolds and its applications
• Arithmetic groups and the length spectrum of Riemann surfaces
• Pants immersed in hyperbolic 3-manifolds
• A geometric characterization of arithmetic Fuchsian groups.
• Bestimmung der Kommensurabilitätsklasse der Hilbertschen Modulgruppe
• Compactness of the set of isospectral nets and its consequences
• Shrinkwrapping and the taming of hyperbolic 3-manifolds
• Groups of units of zero ternary quadratic forms
• Trace Classes and Quadratic Forms in the Modular Group
• Length and Eigenvalue Equivalence
• On the Commensurability Class of the Rational Modular Group
• Subgroups of Finite Index in Free Groups

This page was built for publication: Equivalent trace sets for arithmetic Fuchsian groups