Sylow Subgroups of Primitive Permutation Groups
โ Scribed by Dixon, J. D.
- Book ID
- 120097945
- Publisher
- Oxford University Press
- Year
- 1974
- Tongue
- English
- Weight
- 77 KB
- Volume
- s2-9
- Category
- Article
- ISSN
- 0024-6107
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We describe the theory and implementation of a practical algorithm for computing a Sylow subgroup of a permutation group and for finding an element that conjugates one Sylow subgroup to another. The performance of the current implementations in the Magma system represents a significant improvement o
to helmut wielandt on the occasion of his 90th birthday We investigate the finite primitive permutation groups G which have a transitive subgroup containing no nontrivial subnormal subgroup of G. The conclusion is that such primitive groups are rather rare, and that their existence is intimately co
## dedicated to john cossey on the occasion of his 60th birthday An extension of the well-known Frobenius criterion of p-nilpotence in groups with modular Sylow p-subgroups is proved in the paper. This result is useful to get information about the classes of groups in which every subnormal subgrou