Abstract
Twisted Lefschetz numbers are extensions of the ordinary Lefschetz numbers for cohomologies with values in flat bundles. As a generalization of linearization formula for the ordinary Lefschetz number of a diffeomorphism of a nilmanifold, we show that a twisted Lefschetz number of any diffeomorphism of any infra-solvmanifold is equal to the determinant det(I−A) for some matrix A by using the cohomology of algebraic groups.
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