On maximal finite irreducible subgroups of 𝐺𝐿(𝑛,𝑍). IV. Remarks on even dimensions with applications to 𝑛=8

Plesken, Wilhelm; Pohst, Michael

doi:10.1090/S0025-5718-1980-0551304-9

On maximal finite irreducible subgroups of $\textrm {GL}(n, \textbf {Z})$. IV. Remarks on even dimensions with applications to $n=8$
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by Wilhelm Plesken and Michael Pohst PDF

Math. Comp. 34 (1980), 259-275 Request permission

Abstract:

The general methods for the determination of maximal finite absolutely irreducible subgroups of $GL(n,{\mathbf {Z}})$ developed in Part I of this series of papers [6] are refined for even n. Applications are made to $n = 8$ in view of Part V [7], where a complete classification is obtained.

References

Crystallographic Groups of Four-Dimensional Space

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