The Degree and Index of a Finite Group
β Scribed by Yakov Berkovich
- Publisher
- Elsevier Science
- Year
- 1999
- Tongue
- English
- Weight
- 179 KB
- Volume
- 214
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
This paper contains an irredundant listing of the finite irreducible monomial Ε½ . subgroups of GL 4, β«ήβ¬ . The groups are listed up to conjugacy and are given explicitly by generating sets of monomial matrices.
We complete data in Sims' list of the 406 primitive permutation groups of degree β€ 50, as given in a CAYLEY library, by an explicit description of the structure of the 202 groups missing till now. The completed list is available in MAGMA.
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