| In this paper it is shown that for all but finitely many positive integers $n$, there is a finite connected 7-arc-transitive quartic graph with the alternating group $A_n$ acting transitively on its 7-arcs, and another with the symmetric group $S_n$ acting transitively on its 7-arcs. The proof uses a construction involving permutation representations to obtain finite graphs with the desired property. |
Keywords
graph, symmetry, automorphism group
Math Review Classification
Primary 05C25
; Secondary 20B25
Last Updated
June 1998
Length
13 pages
Availability
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