  We show that the Igusa-Klein topological torsion and the Bismut-Lott analytic
torsion are equivalent for any flat vector bundle whose holonomy is a finite
subgroup of $\mathrm{GL}_n(\mathbb{Q})$. Our proof uses Artin's induction
theorem in representation theory to reduce the problem to the special case of
trivial flat line bundles, which is a recent result of Puchol, Zhu and the
second author. The idea of using Artin's induction theorem appeared in a paper
of Ohrt on the same topic, of which our present work is an improvement.
