Affine extensions of the Petersen graph and 2-arc-transitive graphs of girth 5

• Main Author: Pasechnik, Dmitrii V.
• Other Authors: School of Physical and Mathematical Sciences
• Format: Article
• Language: English
• Published: 2013
• Subjects: DRNTU::Science::Mathematics
• Online Access: https://hdl.handle.net/10356/95798; http://hdl.handle.net/10220/9468
• Institution: Nanyang Technological University

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...