On the reconstruction index of permutation groups: semiregular groups
โ Scribed by Ph. Maynard; J. Siemons
- Publisher
- Springer
- Year
- 2002
- Tongue
- English
- Weight
- 257 KB
- Volume
- 64
- Category
- Article
- ISSN
- 0001-9054
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
The fixity of a finite permutation group \(G\) is the maximal number of fixed points of a non-trivial element of \(G\). We analyze the structure of non-regular permutation groups \(G\) with given fixity \(f\). We show that if \(G\) is transitive and nilpotent, then it has a subgroup whose index and
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