On maximal finite irreducible subgroups of $\textrm {GL}(n, \textbf {Z})$. V. The eight-dimensional case and a complete description of dimensions less than ten
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- by Wilhelm Plesken and Michael Pohst PDF
- Math. Comp. 34 (1980), 277-301 Request permission
Abstract:
All maximal finite (absolutely) irreducible subgroups of $GL(8,{\mathbf {Z}})$ are determined up to Z-equivalence. Moreover, we present a full set of representatives of the Z-classes of the maximal finite irreducible subgroups of $GL(n,{\mathbf {Z}})$ for $n \leqslant 9$ by listing generators of the groups, the corresponding quadratic forms fixed by these groups, and the shortest vectors of these forms.References
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Additional Information
- © Copyright 1980 American Mathematical Society
- Journal: Math. Comp. 34 (1980), 277-301
- MSC: Primary 20C10
- DOI: https://doi.org/10.1090/S0025-5718-1980-0551305-0
- MathSciNet review: 551305