On automorphism groups of some PCS graphs
โ Scribed by Reginaldo M. Marcelo; Mari-Jo P. Ruiz; Ken-ichi Shinoda
- Publisher
- Springer Japan
- Year
- 1994
- Tongue
- English
- Weight
- 366 KB
- Volume
- 10
- Category
- Article
- ISSN
- 0911-0119
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๐ SIMILAR VOLUMES
For a large class of finite Cayley graphs we construct covering graphs whose automorphism groups coincide with the groups of lifted automorphisms. As an application we present new examples of 1ร2-transitive and 1-regular graphs.
Let be a graph and let G be a subgroup of automorphisms of . Then G is said to be locally primitive on if, for each vertex v, the stabilizer G v induces a primitive group of permutations on the set of vertices adjacent to v. This paper investigates pairs G for which G is locally primitive on , G is