The maximal orders of finite subgroups in 𝐺𝐿_{𝑛}(𝐐)

Friedland, Shmuel

doi:10.1090/S0002-9939-97-04283-4

The maximal orders of finite subgroups in $GL_{n}(\mathbf {Q})$
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Proc. Amer. Math. Soc. 125 (1997), 3519-3526 Request permission

Abstract:

We give a relatively simple proof that the orthogonal group over the integers is the unique finite subgroup (up to a conjugation) in $GL_{n}(\mathbf {Z})$ of the maximal order for $n>>1$.

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