Movement of intransitive permutation groups having maximum degree
β Scribed by Mehdi Alaeiyan; Mehdi Rezaei
- Book ID
- 113082513
- Publisher
- Coastal and Estuarine Research Federation
- Year
- 2012
- Tongue
- English
- Weight
- 137 KB
- Volume
- 33
- Category
- Article
- ISSN
- 1860-6261
No coin nor oath required. For personal study only.
π SIMILAR VOLUMES
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
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