Let β« be a finite connected regular graph with vertex set V β«, and let G be a subgroup of its automorphism group Aut β«. Then β« is said to be G-locally primitiΒ¨e if, for each vertex β£ , the stabilizer G is primitive on the set of vertices adjacent to β£ β£. In this paper we assume that G is an almost s
Minimal transitive graphs of finite simple groups
β Scribed by N. A. Chukanov
- Publisher
- Springer US
- Year
- 1993
- Tongue
- English
- Weight
- 592 KB
- Volume
- 32
- Category
- Article
- ISSN
- 0002-5232
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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
This paper contains a classification of finite linear spaces with an automorphism group which is an almost simple group of Lie type acting flag-transitively. This completes the proof of the classification of finite flag-transitive linear spaces announced in [BDDKLS].