Automorphisms of coverings of strongly regular graphs with parameters (81,20,1,6)

被引：0
|
作者：
Wen-Bin Guo
A. A. Makhnev
D. V. Paduchikh
机构：
[1] Ural Division of the Russian Academy of Sciences,Institute of Mathematics and Mechanics
来源：
Mathematical Notes | 2009年 / 86卷
关键词：
distance-regular graph; intersection array; adjacency maytix; covering of a graph; automorphism group; character of a finite group; clique; coclique; Sylow subgroup;
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学科分类号：
摘要：
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 ∈ {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.
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页码：26 / 40
页数：14
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