首页 > 《数学年刊：B辑英文版》 > 2001年3期 > AUTOMORPHISM GROUPS OF 4-VALENT CONNECTED CAYLEY GRAPHS OF p-GROUPS

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.

DOI 54knr5334k/2135457

作者 FENGYANQUAN;JINHoKWAK;WANGRUJI

机构地区不详

出处《数学年刊：B辑英文版》 2001年3期

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分类 [理学][基础数学]

出版日期 2001年03月13日（中国期刊网平台首次上网日期，不代表论文的发表时间）

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数学年刊：B辑英文版

数学年刊：B辑英文版

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