Lefschetz and Nielsen coincidence numbers on nilmanifolds and solvmanifolds. II

DOI10.1016/S0166-8641(96)00081-8zbMath1001.55004OpenAlexW2045020883MaRDI QIDQ675088

Christopher K. McCord

Publication date: 3 November 2002

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

Full work available at URL: https://doi.org/10.1016/s0166-8641(96)00081-8

Mathematics Subject Classification ID

Groups acting on specific manifolds (57S25) Fixed points and coincidences in algebraic topology (55M20)

Related Items (8)

Nielsen type numbers and homotopy minimal periods for maps on solvmanifolds with \(\operatorname{Sol}_{1}^{4}\)-geometry ⋮ Homotopy minimal periods for \(NR\)-solvmanifolds maps ⋮ Formulas for the Reidemeister, Lefschetz and Nielsen coincidence number of maps between infra-nilmanifolds ⋮ The finiteness of the Reidemeister number of morphisms between almost-crystallographic groups. ⋮ Anosov theorem for coincidences on special solvmanifolds of type $(\mathrm {R})$ ⋮ Nielsen coincidence theory on infra-solvmanifolds of Sol ⋮ Coincidence theory for infra-nilmanifolds ⋮ The Nielsen and Reidemeister numbers of maps on infra-solvmanifolds of type \((\mathrm{R})\)

Cites Work

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• Nielsen numbers and Lefschetz numbers on solvmanifolds
• Lefschetz and Nielsen coincidence numbers on nilmanifolds and solvmanifolds
• Estimating Nielsen numbers on infrasolvmanifolds
• Periodic points on nilmanifolds and solvmanifolds
• Maps on infra-nilmanifolds. Rigidity and applications to fixed-point theory
• Superrigidity of lattices in solvable Lie groups
• The Anosov theorem for exponential solvmanifolds
• The Nielsen Numbers of Homotopically Periodic Maps of Infranilmanifolds
• On Changing Fixed Points and Coincidences to Roots
• Nielsen Numbers of Periodic Maps on Solvmanifolds
• Nielsen Numbers of Homotopically Periodic Maps on Infrasolvmanifolds

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