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Normalizers of the principal congruence subgroups in $\mathrm{GL}(n,\mathbf Q)$

A question quite similar to this question. Let $n \geqslant 3$ and $m \geqslant 2$ be natural numbers and suppose that a matrix $A \in \mathrm{GL}(n,\mathbf Q)$ normalizes the principal congruence ...
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