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Transitive Permutation Groups with Bounded Movement

✍ 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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πŸ“œ SIMILAR VOLUMES


Transitive Permutation Groups with Bound
✍ Akbar Hassani; Mehdi Khayaty; E.I Khukhro; Cheryl E Praeger πŸ“‚ Article πŸ“… 1999 πŸ› Elsevier Science 🌐 English βš– 156 KB

Let G be a transitive permutation group on a set ⍀ 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 . @ ⌫ \_ ⌫ F m for every subset ⌫ of ⍀ and all g g G, then ⍀ F 2 mpr p y 1 , < < < < where p is the least odd prime dividing G . If

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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

Transitive Subgroups of Primitive Permut
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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

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A nonidentity element of a permutation group is said to be semiregular if all of its orbits have the same length. The work in this paper is linked to [6] where the problem of existence of semiregular automorphisms in vertex-transitive digraphs was posed. It was observed there that every vertextransi

Groups without Faithful Transitive Permu
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A subgroup H of a group G is core-free if H contains no non-trivial normal subgroup of G, or equivalently the transitive permutation representation of G on the cosets of H is faithful. We study the obstacles to a group having large core-free subgroups. We call a subgroup D a ''dedekind'' subgroup of