AUTOMORPHISM GROUPS OF 4-VALENT CONNECTED CAYLEY GRAPHS OF p-GROUPS

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摘要 LetGbeap-group(poddprime)andletX=Cay(G,S)bea4-valentconnectedCayleygraph.ItisshownthatifGhasnilpotentclass2,thentheautomorphismgroupAut(X)ofXisisomorphictothesemidirectproductGRAut(G,S),whereGRistherightregularrepresentationofGandAut(G,S)isthesubgroupoftheautomorphismgroupAut(G)ofGwhichfixesSsetwise.HowevertheresultisnottrueifGhasnilpotentclass3andthispaperprovidesacounterexample.
机构地区 不详
出版日期 2001年03月13日(中国Betway体育网页登陆平台首次上网日期,不代表论文的发表时间)
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