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Results tagged with orthogonal-groups
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user 14830
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Finite subgroups of $O_n(\mathbb{Z})$ versus $O_n(\mathbb{Q})$
If it's the same $n$ then yes this can happen. For example, the lattice $D_4$ (consisting of all integer vectors in ${\bf Z}^4$ with even sum) has more isometries than ${\bf Z}^4$. If we allow differ …
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