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 Nielsen spectrum of maps on infra-solvmanifolds modeled on $\Sol_0^{\kern2pt 4}$ Bull. Korean Math. Soc. 2020 Vol. 57, No. 4, 909-919 https://doi.org/10.4134/BKMS.b190601Published online October 24, 2019Printed July 31, 2020 Jong Bum Lee Sogang University Abstract : The 4-dimensional solvable Lie group $\Sol_0^{\kern2pt 4}$ does not admit a lattice. The purpose of this paper is two-fold. We study poly-crystallo\-graphic groups of $\Sol_0^{\kern2pt 4}$, and then we study Nielsen fixed point theory on the spaces modeled on $\Sol_0^{\kern2pt 4}$. Keywords : Infra-solvmanifold, Lefschetz number, mapping torus, Nielsen number, poly-crystallographic group, Reidemeister number, $\Solof$ MSC numbers : Primary 57S30, 57S20, 22E25 Supported by : The author was partially supported by Basic Science Research Program through the National Research Foundation of Korea funded by the Ministry of Education (NRF2016-R1D1A1B01006971) Downloads: Full-text PDF   Full-text HTML