On Maximal Finite Irreducible Subgroups of GL(n, Z) V. The Eight Dimensional Case and a Complete Description of Dimensions Less Than Ten
نویسنده
چکیده
All maximal finite (absolutely) irreducible subgroups of GL(S, 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, Z) for n < 9 by listing generators of the groups, the corresponding quadratic forms fixed by these groups, and the shortest vectors of these forms.
منابع مشابه
On Maximal Finite Irreducible Subgroups of GL(n, Z) IV. Remarks on Even Dimensions
The general methods for the determination of maximal finite absolutely irreducible subgroups of GL(n, 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.
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