This paper contains an irredundant listing of the finite irreducible monomial Ž . subgroups of GL 4, ރ . The groups are listed up to conjugacy and are given explicitly by generating sets of monomial matrices.
✦ LIBER ✦
Finite Irreducible Imprimitive Nonmonomial Complex Linear Groups of Degree 4
✍ Scribed by Burkhard Höfling
- Publisher
- Elsevier Science
- Year
- 2001
- Tongue
- English
- Weight
- 362 KB
- Volume
- 236
- Category
- Article
- ISSN
- 0021-8693
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✦ Synopsis
The article contains a classification of the groups indicated in the title, consisting of a parametrised list of groups, each relevant group being conjugate in GL 4 to precisely one group on the list (and each group on the list being relevant). Each group on this list is given by a generating set of matrices, whose entries are explicit functions of finitely many integers satisfying certain relations. Also included is a similar classification of the finite primitive subgroups of GL 2 .
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