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.
Publié le : 1996-05-14
Classification:
finite rational matrix groups,
finite integral matrix groups,
integral lattices in Euclidean space,
positive definite integral quadratic forms,
20H20,
20C15
@article{1047915100,
author = {Nebe, Gabriele},
title = {Finite subgroups of {${\rm GL}\sb {24}({\bf Q})$}},
journal = {Experiment. Math.},
volume = {5},
number = {4},
year = {1996},
pages = { 163-195},
language = {en},
url = {http://dml.mathdoc.fr/item/1047915100}
}
Nebe, Gabriele. Finite subgroups of {${\rm GL}\sb {24}({\bf Q})$}. Experiment. Math., Tome 5 (1996) no. 4, pp. 163-195. http://gdmltest.u-ga.fr/item/1047915100/