Nielsen spectrum of maps on infra-solvmanifolds modeled on Sol_0^4
Bull. Korean Math. Soc.
Published online October 24, 2019
Jong Bum Lee
Sogang University
Abstract : The 4-dimensional solvable Lie group Sol_0^4 does not admit a lattice. The purpose of this paper is two-folded. We study polycrystallographic groups of Sol_0^4 , and then we study Nielsen fixed point theory on the spaces modeled on Sol_0^4.
Keywords : infra-solvmanifold, Lefschetz number, mapping torus, Nielsen number, poly-crystallographic group, Reidemeister number, Sol_0^4
MSC numbers : 57S30, 57S20, 22E25
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