Formulas for the Reidemeister, Lefschetz and Nielsen coincidence number of maps between infra-nilmanifolds

DOI10.1186/1687-1812-2012-39zbMath1278.55002OpenAlexW2109409600WikidataQ59271106 ScholiaQ59271106MaRDI QIDQ368401

Pieter Penninckx, Ku Yong Ha, Jong Bum Lee

Publication date: 23 September 2013

Published in: Fixed Point Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/1687-1812-2012-39

zbMATH Keywords

infra-nilmanifoldLefschetz coincidence numberNielsen coincidence numberReidemeister coincidence number

Mathematics Subject Classification ID

Fixed points and coincidences in algebraic topology (55M20) Discontinuous groups of transformations (57S30)

Related Items (13)

Nielsen spectrum of maps on infra-solvmanifolds modeled on $Sol_0^{kern2pt 4}$ ⋮ Preimage homomorphism indices of preimage classes ⋮ The Reidemeister Spectra of Low Dimensional Almost-Crystallographic Groups ⋮ The R∞ property for crystallographic groups of Sol14 ⋮ The finiteness of the Reidemeister number of morphisms between almost-crystallographic groups. ⋮ Nielsen coincidence theory on infra-solvmanifolds of Sol ⋮ The Reidemeister spectra of low dimensional crystallographic groups ⋮ Groupoids and relations among Reidemeister and among Nielsen numbers ⋮ The Nielsen and Reidemeister numbers of maps on infra-solvmanifolds of type \((\mathrm{R})\) ⋮ The \(R_\infty\) property for crystallographic groups of Sol ⋮ Reidemeister spectra for solvmanifolds in low dimensions ⋮ The Reidemeister numbers and the Hirsch ranks for preimage subgroups ⋮ An averaging formula for Nielsen numbers on infra-solvmanifolds

Cites Work

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