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1996 Finite subgroups of {${\rm GL}\sb {24}({\bf Q})$}
Gabriele Nebe
Experiment. Math. 5(3): 163-195 (1996).

Abstract

We classify maximal finite irreducible subgroups of GL$_{\sans{24}} (\Q)$, together with their natural lattices. There are 65 conjugacy classes of such groups, 41 of which consist of primitive groups. New methods for finding the maximal finite supergroups of irreducible cyclic groups are developed and applied.

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Gabriele Nebe. "Finite subgroups of {${\rm GL}\sb {24}({\bf Q})$}." Experiment. Math. 5 (3) 163 - 195, 1996.

Information

Published: 1996
First available in Project Euclid: 17 March 2003

zbMATH: 0870.20029
MathSciNet: MR1426447

Subjects:
Primary: 20H20
Secondary: 20C15

Keywords: finite integral matrix groups , finite rational matrix groups , integral lattices in Euclidean space , positive definite integral quadratic forms

Rights: Copyright © 1996 A K Peters, Ltd.

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Vol.5 • No. 3 • 1996
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