We prove that with the possible exception of total orders every tournament with sharply transitive group of automorphisms is simple.
On sharply edge-transitive permutation groups
✍ Scribed by László Babai; Peter J Cameron; Michel Deza; Navin M Singhi
- Publisher
- Elsevier Science
- Year
- 1981
- Tongue
- English
- Weight
- 706 KB
- Volume
- 73
- Category
- Article
- ISSN
- 0021-8693
No coin nor oath required. For personal study only.
📜 SIMILAR VOLUMES
For a permutation group G on a set S, the mo¨ement of G is defined as the maximum cardinality of subsets T of S for which there exists an element x g G x Ž such that T is disjoint from its translate T that is, when such subsets have . bounded cardinality . It was shown by the second author that, if
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