Lefschetz and Nielsen coincidence numbers on nilmanifolds and solvmanifolds

DOI10.1016/0166-8641(92)90160-2zbMath0748.55001OpenAlexW4210452775MaRDI QIDQ1186155

Christopher K. McCord

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0166-8641(92)90160-2

zbMATH Keywords

fundamental groupNielsen numberLefschetz numbernilmanifoldssolvmanifoldsderived seriesNielsen coincidence class

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20)

Related Items (5)

Homotopy minimal periods for \(NR\)-solvmanifolds maps ⋮ Two, more readily computable equivariant Nielsen numbers I. Nielsen theory for \(\mathbf M\)-ads ⋮ Lefschetz and Nielsen coincidence numbers on nilmanifolds and solvmanifolds. II ⋮ On Changing Fixed Points and Coincidences to Roots ⋮ Coincidence Reidemeister classes on nilmanifolds and nilpotent fibrations

Cites Work

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• Discrete subgroups of solvable Lie groups. I
• Nielsen numbers and Lefschetz numbers on solvmanifolds
• Factor spaces of solvable groups
• Corrections to "On Changing Fixed Points and Coincidences to Roots"
• Mindestzahlen von Koinzidenzpunkten.
• The Nielsen numbers of maps of nil-manifolds
• Discrete Uniform Subgroups of Solvable Lie Groups
• Nielsen Numbers of Maps of Tori
• Differential Topology
• On the sharpness of the ∆2 and ∆1 Nielsen numbers.
• A Lower Bound for the Δ-Nielsen Number

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