The Nielsen numbers of virtually unipotent maps on infra-nilmanifolds

DOI10.1515/form.2001.005zbMath0964.55002OpenAlexW2050732986MaRDI QIDQ2703552

Wim Malfait

Publication date: 7 March 2001

Published in: Forum Mathematicum (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/form.2001.005

zbMATH Keywords

Nielsen numberinfra-nilmanifold

Mathematics Subject Classification ID

Fixed-point theorems on manifolds (58C30) Fixed points and coincidences in algebraic topology (55M20)

Related Items (7)

The Anosov relation for Nielsen numbers of maps of infra-nilmanifolds ⋮ Coincidence theory for infra-nilmanifolds ⋮ The Anosov theorem for infranilmanifolds with an odd-order Abelian holonomy group ⋮ The Anosov theorem for flat generalized Hantzsche-Wendt manifolds ⋮ Problems on Bieberbach groups and flat manifolds ⋮ Lefschetz numbers for continuous maps, and periods for expanding maps on infra-nilmanifolds ⋮ The Nielsen and Reidemeister numbers of maps on infra-solvmanifolds of type \((\mathrm{R})\)

Cites Work

• Bieberbach's theorems on space groups and discrete uniform subgroups of Lie groups
• Almost-Bieberbach groups: affine and polynomial structures
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