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The Nielsen and Reidemeister numbers of maps on infra-solvmanifolds of type (R)

  • Published:2015-02 Issue: Volume:181 Page:62-103
  • ISSN:0166-8641
  • Container-title:Topology and its Applications
  • language:en
  • Short-container-title:Topology and its Applications

Author:

Fel'shtyn Alexander,Lee Jong Bum

Funder

National Research Foundation of Korea

Ministry of Education

Sogang University

Institut des Hautes Études Scientifiques (Bures-sur-Yvette)

Publisher

Elsevier BV

Subject

Geometry and Topology

Reference57 articles.

1. The Nielsen numbers of maps of nil-manifolds;Anosov;Usp. Mat. Nauk,1985

2. The behavior of the index of periodic points under iterations of a mapping;Babenko;Izv. Akad. Nauk SSSR, Ser. Mat.,1991

3. Lie Groups and Lie Algebras, Chapters 1–3;Bourbaki,1998

4. Introduction to Compact Transformation Groups;Bredon,1972

5. Nilmanifolds with Anosov automorphism;Dani;J. Lond. Math. Soc.,1978

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1. On the rationality of the Nielsen zeta function for maps on solvmanifolds;Journal of Fixed Point Theory and Applications;2024-06-19

2. Calculation of Nielsen periodic numbers on infra-solvmanifolds of type (R);Topology and its Applications;2023-05

3. An averaging formula for Nielsen numbers on infra-solvmanifolds;Journal of Fixed Point Theory and Applications;2022-12-15

4. Strongly scale-invariant virtually polycyclic groups;Groups, Geometry, and Dynamics;2022-10-17

5. Pólya–Carlson dichotomy for coincidence Reidemeister zeta functions via profinite completions;Indagationes Mathematicae;2022-07
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