Averaging Formula for Nielsen Numbers of Maps on Infra-Solvmanifolds of Type (R)

DOI10.1017/S0027763000009818zbMath1234.55002OpenAlexW1594534560MaRDI QIDQ5851036

Kyung Bai Lee, Jong Bum Lee

Publication date: 21 January 2010

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://projecteuclid.org/euclid.nmj/1263564650

zbMATH Keywords

infra-solvmanifoldsaveraging formulaNielsen numbers

Mathematics Subject Classification ID

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

Related Items

Nielsen spectrum of maps on infra-solvmanifolds modeled on $Sol_0^{kern2pt 4}$, Nielsen type numbers and homotopy minimal periods for maps on solvmanifolds with \(\operatorname{Sol}_{1}^{4}\)-geometry, Twisted Burnside-Frobenius theory for endomorphisms of polycyclic groups, The Reidemeister Spectra of Low Dimensional Almost-Crystallographic Groups, Calculation of Nielsen periodic numbers on infra-solvmanifolds of type (R), Nielsen zeta functions for maps on infra-nilmanifolds are rational, Nielsen coincidence theory on infra-solvmanifolds of Sol, The Reidemeister spectra of low dimensional crystallographic groups, Density of the homotopy minimal periods of maps on infra-solvmanifolds, The Nielsen numbers of iterations of maps on infra-solvmanifolds of type (R) and periodic orbits, Groupoids and relations among Reidemeister and among Nielsen numbers, Nielsen zeta functions on infra-nilmanifolds up to dimension three, 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, Crystallographic groups of Sol, 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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