On maximal finite irreducible subgroups of $\textrm {GL}(n, \textbf {Z})$. I. The five and seven dimensional cases
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 by Wilhelm Plesken and Michael Pohst PDF
 Math. Comp. 31 (1977), 536551 Request permission
Abstract:
General methods for the determination of maximal finite absolutely irreducible subgroups of $GL(n,{\mathbf {Z}})$ are described. For $n = 5,7$ all these groups are computed up to Zequivalence.References

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Additional Information
 © Copyright 1977 American Mathematical Society
 Journal: Math. Comp. 31 (1977), 536551
 MSC: Primary 20G05
 DOI: https://doi.org/10.1090/S0025571819770444789X
 MathSciNet review: 0444789