On primitive permutation groups containing a cycle
โ Scribed by Alan Williamson
- Publisher
- Springer-Verlag
- Year
- 1973
- Tongue
- French
- Weight
- 207 KB
- Volume
- 130
- Category
- Article
- ISSN
- 0025-5874
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๐ SIMILAR VOLUMES
A permutation group is said to be quasiprimitive if all its non-trivial normal subgroups are transitive. We investigate pairs (G, H ) of permutation groups of degree n such that G H S n with G quasiprimitive and H primitive. An explicit classification of such pairs is obtained except in the cases wh
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