Nielsen spectrum of maps on infra-solvmanifolds modeled on $Sol_0^{kern2pt 4}$

DOI10.4134/BKMS.b190601zbMath1472.57036OpenAlexW3113845739MaRDI QIDQ5148155

Jong Bum Lee

Publication date: 1 February 2021

Full work available at URL: https://pdf.medrang.co.kr/kms01/BKMS/57/BKMS-57-4-909-919.pdf

zbMATH Keywords

fixed point theoryNielsen theoryinfra-solvmanifold

Mathematics Subject Classification ID

Nilpotent and solvable Lie groups (22E25) Fixed points and coincidences in algebraic topology (55M20) Discontinuous groups of transformations (57S30) Noncompact Lie groups of transformations (57S20)

Related Items (1)

An averaging formula for Nielsen numbers on infra-solvmanifolds

Cites Work

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• Nielsen type numbers and homotopy minimal periods for maps on solvmanifolds with \(\operatorname{Sol}_{1}^{4}\)-geometry
• Formulas for the Reidemeister, Lefschetz and Nielsen coincidence number of maps between infra-nilmanifolds
• The Nielsen type numbers for maps on a 3-dimensional flat Riemannian manifold
• The Nielsen numbers of iterations of maps on infra-solvmanifolds of type (R) and periodic orbits
• Homotopy minimal periods for expanding maps on infra-nilmanifolds
• Geometric structures on compact complex analytic surfaces
• Classification of closed manifolds with \({\mathrm{Sol}_1}^{4}\)-geometry
• Nielsen theory on nilmanifolds of the standard filiform Lie group
• Nielsen fixed point theory on infra-solvmanifolds of Sol
• 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 \((\mathrm{R})\)
• The \(R_\infty\) property for crystallographic groups of Sol
• The Nielsen and Reidemeister theories of iterations on infra-solvmanifolds of type (𝑅) and poly-Bieberbach groups
• AVERAGING FORMULA FOR NIELSEN NUMBERS OF MAPS ON INFRA-SOLVMANIFOLDS OF TYPE (R) – CORRIGENDUM
• Crystallographic groups of Sol
• INFRA-SOLVMANIFOLDS OF Sol₁⁴
• COMPUTATION OF THE NIELSEN TYPE NUMBERS FOR MAPS ON THE KLEIN BOTTLE
• Lectures on Nielsen fixed point theory
• Density of the homotopy minimal periods of maps on infra-solvmanifolds
• UNIMODULAR GROUPS OF TYPE ℝ³⋊ ℝ
• Averaging Formula for Nielsen Numbers
• Averaging Formula for Nielsen Numbers of Maps on Infra-Solvmanifolds of Type (R)

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