Abstract
We derive averaging formulas for the Lefschetz coincidence numbers, the Nielsen coincidence numbers 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 pairs of self-maps of a nonorientable infra-solvmanifold of Sol, we determine the sets of all possible values of the Nielsen coincidence numbers and the Reidemeister coincidence numbers.
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