Symmetric graphs with projective subconstituents
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- by Richard Weiss PDF
- Proc. Amer. Math. Soc. 72 (1978), 213-217 Request permission
Abstract:
Let $\Gamma$ be a finite, undirected, connected graph and G a subgroup of ${\operatorname {aut}}(\Gamma )$ acting transitively on the vertex set of $\Gamma$ such that the stabilizer $G(x)$ in G of a vertex x contains a normal subgroup which induces a permutation group on the set of vertices adjacent to x isomorphic to $PSL(n,q)$ with $n \geqslant 3$. A bound for $|G(x)|$ depending only on n and q is shown to exist under certain conditions.References
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Additional Information
- © Copyright 1978 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 72 (1978), 213-217
- MSC: Primary 05-XX
- DOI: https://doi.org/10.1090/S0002-9939-1978-0524349-5
- MathSciNet review: 524349