Nielsen numbers of selfmaps of Sol 3-manifolds

DOI10.1016/j.topol.2012.06.013zbMath1258.55002OpenAlexW2056647742MaRDI QIDQ694667

Daciberg Lima Gonçalves, Peter N.-S. Wong

Publication date: 13 December 2012

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

Full work available at URL: https://doi.org/10.1016/j.topol.2012.06.013

zbMATH Keywords

Nielsen numberSol 3-manifoldsReidemeister numbertorus bundle over a circle

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Fixed points and coincidences in algebraic topology (55M20)

Related Items (13)

Unnamed Item ⋮ Twisted conjugacy in fundamental groups of geometric 3-manifolds ⋮ The cohomology ring of the sapphires that admit the Sol geometry ⋮ The groups Aut and Out of the fundamental group of a closed Sol 3-manifold ⋮ The R∞ property for crystallographic groups of Sol14 ⋮ Mapping degrees between spherical $ 3$-manifolds ⋮ Wecken homotopies ⋮ The geometric invariants of certain group extensions with applications to twisted conjugacy. ⋮ The \(R_\infty\) property for crystallographic groups of Sol ⋮ Fixed point theory of spherical 3-manifolds ⋮ Reidemeister spectra for solvmanifolds in low dimensions ⋮ Nielsen theory on 3-manifolds covered by \(S^{2} \times \mathbb{R}\) ⋮ Crystallographic groups of Sol

Cites Work

• Unnamed Item
• Unnamed Item
• Nielsen numbers of mappings of surfaces
• Self-mapping degrees of torus bundles and torus semi-bundles
• Involutions on torus bundles over \(S^ 1\)
• Fixed points of surface diffeomorphisms
• The Nielsen number as an isotopy invariant
• Homeomorphisms of 3-manifolds and the realization of Nielsen number
• Lectures on Nielsen fixed point theory
• Fixed points of surface homeomorphisms
• TWISTED CONJUGACY CLASSES IN EXPONENTIAL GROWTH GROUPS

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