On the 2-Closures of Finite Permutation Groups
โ Scribed by Liebeck, M. W.; Praeger, C. E.; Saxl, J.
- Book ID
- 120095779
- Publisher
- Oxford University Press
- Year
- 1988
- Tongue
- English
- Weight
- 339 KB
- Volume
- s2-37
- Category
- Article
- ISSN
- 0024-6107
No coin nor oath required. For personal study only.
๐ 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 group G satisfies the permutizer condition P if each proper subgroup H of G permutes with some cyclic subgroup not contained in H. The structure of finite groups with P is studied, the main result being that such groups are soluble with chief factors of order 4 or a prime. The classification of fi