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Finite normal edge-transitive Cayley graphs
| Content Provider | Scilit |
|---|---|
| Author | Praeger, Cheryl E. |
| Copyright Year | 1999 |
| Description | An approach to analysing the family of Cayley graphs for a finite group G is given which identifies normal edge-transitive Cayley graphs as a sub-family of central importance. These are the Cayley graphs for G for which a subgroup of automorphisms exists which both normalises G and acts transitively on edges. It is shown that, for a nontrivial group G, each normal edge-transitive Cayley graph for G has at least one homomorphic image which is a normal edge-transitive Cayley graph for a characteristically simple quotient group of G. Moreover, given a normal edge-transitive Cayley graph ΓH for a quotient group G/H, necessary and sufficient conditions are obtained for the existence of a normal edge-transitive Cayley graph Γ for G which has $Γ_{H}$ as a homomorphic image, and a method for obtaining all such graphs Γ is given. |
| Related Links | https://www.cambridge.org/core/services/aop-cambridge-core/content/view/E61388B8DE979538E0664C4D5626C45E/S0004972700036340a.pdf/div-class-title-finite-normal-edge-transitive-cayley-graphs-div.pdf |
| Ending Page | 220 |
| Page Count | 14 |
| Starting Page | 207 |
| ISSN | 00049727 |
| e-ISSN | 17551633 |
| DOI | 10.1017/s0004972700036340 |
| Journal | Bulletin of the Australian Mathematical Society |
| Issue Number | 2 |
| Volume Number | 60 |
| Language | English |
| Publisher | Cambridge University Press (CUP) |
| Publisher Date | 1999-10-01 |
| Access Restriction | Open |
| Subject Keyword | Bulletin of the Australian Mathematical Society Applied Mathematics Normal Edge Cayley Graphs Transitive Cayley Graph Edge Transitive Cayley |
| Content Type | Text |
| Resource Type | Article |
| Subject | Mathematics |
