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3 results

  • Gassmann triples with special cycle types and applications

  • Part of
  • Holger Kammeyer, Steffen Kionke
  • Journal:
    Proceedings of the Edinburgh Mathematical Society / Volume 67 / Issue 4 / November 2024
    Published online by Cambridge University Press:
    10 October 2024, pp. 1115-1124
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  • We show that if one of various cycle types occurs in the permutation action of a finite group on the cosets of a given subgroup, then every almost conjugate subgroup is conjugate. As a number theoretic application, corresponding decomposition types of primes effect that a number field is determined by the Dedekind zeta function. As a geometric application, coverings of Riemannian manifolds with certain geodesic lifting behaviours must be isometric.

  • A STRUCTURED INVERSE SPECTRUM PROBLEM FOR INFINITE GRAPHS AND UNBOUNDED OPERATORS

  • Part of
  • EHSSAN KHANMOHAMMADI
  • Journal:
    Bulletin of the Australian Mathematical Society / Volume 98 / Issue 3 / December 2018
    Published online by Cambridge University Press:
    15 August 2018, pp. 363-371
    Print publication:
    December 2018
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  • Let $G$ be an infinite graph on countably many vertices and let $\unicode[STIX]{x1D6EC}$ be a closed, infinite set of real numbers. We establish the existence of an unbounded self-adjoint operator whose graph is $G$ and whose spectrum is $\unicode[STIX]{x1D6EC}$.

  • Huber's Theorem for Hyperbolic Orbisurfaces

  • Emily B. Dryden, Alexander Strohmaier
  • Journal:
    Canadian Mathematical Bulletin / Volume 52 / Issue 1 / 01 March 2009
    Published online by Cambridge University Press:
    20 November 2018, pp. 66-71
    Print publication:
    01 March 2009
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  • We show that for compact orientable hyperbolic orbisurfaces, the Laplace spectrum determines the length spectrum as well as the number of singular points of a given order. The converse also holds, giving a full generalization of Huber's theorem to the setting of compact orientable hyperbolic orbisurfaces.