Intersection matrices for finite permutation groups
β Scribed by D.G Higman
- Publisher
- Elsevier Science
- Year
- 1967
- Tongue
- English
- Weight
- 915 KB
- Volume
- 6
- Category
- Article
- ISSN
- 0021-8693
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π SIMILAR VOLUMES
A permutation group G is said to be a group of finite type {k}, k a positive integer, if each nonidentity element of G has exactly k fixed points. We show that a group G can be faithfully represented as an irredundant permutation group of finite type if and only if G has a non-trivial normal partiti
A coherent algebra is F-primitive if each of its non-identity basis matrices is primitive in the sense of Frobenius. We investigate the relationship between the primitivity of a permutation group, the primitivity of its centralizer algebra, and F-primitivity. The results obtained are applied to give
Let F be a finite field. We apply a result of Thierry Berger (1996, Designs Codes Cryptography, 7, 215-221) to determine the structure of all groups of permutations on F generated by the permutations induced by the linear polynomials and any power map which induces a permutation on F.