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arXiv · 2309.10715

Gassmann triples with special cycle types and applications

Holger Kammeyer·Steffen Kionke
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Abstract

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 behaviors must be isometric.

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Holger Kammeyer, Steffen Kionke. 2023-09-19. Gassmann triples with special cycle types and applications. https://doi.org/10.1017/s0013091524000579

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