Geodesic
Automorphisms of Coverings of Strongly Regular Graphs with Parameters (81,20,1,6)
Matematičeskie zametki, Tome 86 (2009) no. 1, pp. 22-36 Cet article a éte moissonné depuis la source Math-Net.Ru

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The possible orders and subgraphs of fixed points of the automorphisms of distance-regular graphs of diameter 4 which are $r$-coverings of a strongly regular graph with parameters (81,20,1,6) for $r\in\{2,3,6\}$ are found. It is proved that, if the automorphism group of a covering of the above type acts transitively on the set of vertices of the graph, then $r=3$.
Keywords: distance-regular graph, intersection array, adjacency maytix, covering of a graph, character of a finite group, Sylow subgroup.
Mots-clés : automorphism group, clique, coclique 
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Guo Wenbin; A. A. Makhnev; D. V. Paduchikh. Automorphisms of Coverings of Strongly Regular Graphs with Parameters (81,20,1,6). Matematičeskie zametki, Tome 86 (2009) no. 1, pp. 22-36. http://geodesic.mathdoc.fr/item/MZM_2009_86_1_a2/

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