某些P群的特征子群

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5、】"Ạ;ᦻ<ᑮ>?@ᯠB"C(ᢇEF：11371232)GHIḕ@ᯠB"C(ᢇEF：2012011001,2013011001)ḄKL.Title:Characteristicsubgroupsofsomep-groupsMajor:PuremathematicsName:YinshaWuSignature:Supervisor:AssociateprofessorQiangweiSongSignature:AbstractSupposethatGisafinitep-group.IfallsubgroupsofindexpfofGareabelianandat

6、leastonesubgroupofindexj/—1ofGisnotabelian,thenGiscalledan&-group.Inthispaper,wegiveallcharacteristicpropersubgroupsofmetacyclic&-group，wealsogiveallcharacteristicmaximalsubgroupsfornonmetacyclic&-groupsand&-groups.【KeyWords】finitep-groups,^lrgroup,^-group,metacyclicp-group,characteris

7、ticsubgroup【TypeofThesis】PuremathematicsThisworkwassupportedbyNSFC(no.11371232)andNSFofShanxiProvince(no.2012011001，2013011001).'(§1X$Y.........................................................................................................................................I§1.1Ẇ[].....

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