Let G be a transitive permutation group on a set β such that G is not a 2-group and let m be a positive integer. It was shown by the fourth author that if < g < < < ? Ε½ . @ β« \_ β« F m for every subset β« of β and all g g G, then β F 2 mpr p y 1 , < < < < where p is the least odd prime dividing G . If
Transitive Permutation Groups with Bounded Movement
β Scribed by A. Gardiner; C.E. Praeger
- Publisher
- Elsevier Science
- Year
- 1994
- Tongue
- English
- Weight
- 232 KB
- Volume
- 168
- Category
- Article
- ISSN
- 0021-8693
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π 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
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