【摘 要】
：
We derive averaging formulas for the Lefschetz coincidence numbers,the Nielsen coincidence num-bers and the Reidemeister coincidence numbers of maps on infra-solvmanifolds modeled on a connected and simply connected solvable Lie group of type(R).As an app
【机 构】
：
Department of Mathematics,Sogang University,Seoul 121-742,Korea;Departamento de Matemática,Universid
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We derive averaging formulas for the Lefschetz coincidence numbers,the Nielsen coincidence num-bers and the Reidemeister coincidence numbers of maps on infra-solvmanifolds modeled on a connected and simply connected solvable Lie group of type(R).As an application,we compare our formula for the Nielsen coincidence numbers with a result of Jezierski(1992)for pairs of maps on some infra-solvmanifolds of Sol.For all the pairs of self-maps of a nonorientable infra-solvmanifold of Sol,we determine the sets of all the possible values of the Nielsen coincidence numbers and the Reidemeister coincidence numbers.
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