Groupoids and relations among Reidemeister and among Nielsen numbers

DOI10.1016/j.topol.2014.08.033zbMath1308.55001OpenAlexW2065017780MaRDI QIDQ2512646

Philip R. Heath

Publication date: 30 January 2015

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

Full work available at URL: https://doi.org/10.1016/j.topol.2014.08.033

zbMATH Keywords

fixed pointscoincidencesnilmanifoldindexfibrationsNielsen theoryroot theorygroupoidssolvmanifoldtwisted conjugacy classessemi-indexcovering mapsinfra-nilmanifoldinfra-solvmanifoldReidemeister number

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20) Discontinuous groups of transformations (57S30) Homology and cohomology of homogeneous spaces of Lie groups (57T15) Topological manifolds (57N99)

Related Items (5)

Preimage homomorphism indices of preimage classes ⋮ The R∞ property for crystallographic groups of Sol14 ⋮ Computation of Nielsen and Reidemeister coincidence numbers for multiple maps ⋮ Nielsen coincidence theory on infra-solvmanifolds of Sol ⋮ The Reidemeister numbers and the Hirsch ranks for preimage subgroups

Cites Work

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