Primitive permutation groups containing ap-cycle
โ Scribed by Thilo E. Zieschang
- Publisher
- Springer
- Year
- 1995
- Tongue
- English
- Weight
- 255 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0003-889X
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
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
We prove that the number of conjugacy classes of primitive permutation groups cลฝ n. ## ลฝ . of degree n is at most n , where n denotes the maximal exponent occurring in the prime factorization of n. This result is applied to investigating maximal subgroup growth of infinite groups. We then proceed