Homotopy minimal periods for \(NR\)-solvmanifolds maps

DOI10.1016/j.topol.2004.02.018zbMath1057.55001OpenAlexW2049471962MaRDI QIDQ1886708

Jarosław Kȩdra, Wacław Marzantowicz, Jerzy Jezierski

Publication date: 19 November 2004

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.topol.2004.02.018

zbMATH Keywords

Nielsen fixed point theoryPeriodic pointCompact solvmanifoldMinimal homotopy periodMinimal period

Mathematics Subject Classification ID

Related Items (12)

Nielsen type numbers and homotopy minimal periods for maps on solvmanifolds with \(\operatorname{Sol}_{1}^{4}\)-geometry ⋮ Unnamed Item ⋮ Nielsen type numbers and homotopy minimal periods for maps on 3-solvmanifolds ⋮ Calculation of Nielsen periodic numbers on infra-solvmanifolds of type (R) ⋮ Homotopy minimal periods for maps of three-dimensional solvmanifolds ⋮ Anosov theorem for coincidences on special solvmanifolds of type $(\mathrm {R})$ ⋮ Nielsen coincidence theory on infra-solvmanifolds of Sol ⋮ Density of the homotopy minimal periods of maps on infra-solvmanifolds ⋮ The Anosov theorem for infranilmanifolds with an odd-order Abelian holonomy group ⋮ The Nielsen numbers of iterations of maps on infra-solvmanifolds of type (R) and periodic orbits ⋮ Averaging Formula for Nielsen Numbers of Maps on Infra-Solvmanifolds of Type (R) ⋮ Crystallographic groups of Sol

Cites Work

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• Minimal sets of periods for torus maps via Nielsen numbers
• The Anosov theorem for exponential solvmanifolds
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• Factor spaces of solvable groups
• On the cohomology of compact homogeneous spaces of nilpotent Lie groups
• Lectures on Nielsen fixed point theory
• Discrete Uniform Subgroups of Solvable Lie Groups
• On the Least Number of Fixed Points
• Model solvmanifolds for Lefschetz and Nielsen theories
• Weak Wecken's theorem for periodic points in dimension 3
• Cancelling periodic points

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