Affine extensions of the Petersen graph and 2-arc-transitive graphs of girth 5
Let Qn denote the set of the flag-transitive geometries with the diagram. We construct examples of finite Qn-geometries for any n>= 2. This allows us to obtain new examples of finite 2-arc-transitive graphs of girth 5, containing Petersen subgraphs. Using coset enumeration, we classify all Q2-g...
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| Format: | Article |
| Language: | English |
| Published: |
2013
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| Online Access: | https://hdl.handle.net/10356/95798 http://hdl.handle.net/10220/9468 |
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| Institution: | Nanyang Technological University |
| Language: | English |
| Summary: | Let Qn denote the set of the flag-transitive geometries with the diagram.
We construct examples of finite Qn-geometries for any n>= 2. This allows us to obtain new examples of finite 2-arc-transitive graphs of girth 5, containing Petersen subgraphs. Using coset
enumeration, we classify all Q2-geometries. |
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