Affine distance-transitive graphs and classical groups |
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| Authors: | John van Bon Arjeh M Cohen Hans Cuypers |
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| Institution: | aDipartimento di Matematica, Università della Calabria, 87036 Arcavacata di Rende, Italy;bDepartment of Mathematics and Computer Science, Eindhoven University of Technology, P.O. Box 513, 5600 MB Eindhoven, The Netherlands |
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| Abstract: | This paper finishes the classification of the finite primitive affine distance-transitive graphs by dealing with the only case left open, namely where the generalized Fitting subgroup of the stabilizer of a vertex is modulo scalars a simple group of classical Lie type defined over the characteristic dividing the number of vertices of the graph. All graphs that are found to occur are known. |
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| Keywords: | Distance-regular graphs Distance-transitive graphs Finite groups Classical groups |
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