Pólya-Carlson dichotomy for dynamical zeta functions and a twisted Burnside-Frobenius theorem

DOI10.1134/S1061920821040051zbMath1485.37019OpenAlexW4200529806MaRDI QIDQ825086

Evgenij V. Troitsky, Alexander Fel'shtyn

Publication date: 17 December 2021

Published in: Russian Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1134/s1061920821040051

zbMATH Keywords

automorphismReidemeister numbersBurnside-Frobenius theoremArtin-Mazur dynamical zeta functiondual mappingPólya-Carlson dichotomytorsion-free

Mathematics Subject Classification ID

Dynamics induced by group actions other than (mathbb{Z}) and (mathbb{R}), and (mathbb{C}) (37C85) Functional analytic techniques in dynamical systems; zeta functions, (Ruelle-Frobenius) transfer operators, etc. (37C30) Torsion-free groups, finite rank (20K15) Dynamics in general topological spaces (37B02)

Related Items (3)

Rank-two solenoidal endomorphisms ⋮ The \(R_\infty\)-property for Chevalley groups of types \(B_l\), \(C_l\), \(D_l\) over integral domains. ⋮ Reidemeister classes, wreath products, and solvability

Cites Work

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• Towards a Pólya-Carlson dichotomy for algebraic dynamics
• Twisted conjugacy classes in nilpotent groups
• Dynamical zeta functions, Nielsen theory and Reidemeister torsion
• Twisted Burnside-Frobenius theory for discrete groups

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