【摘要】LetGbeanabelianp-groupandKbeafieldofthefirstkindwithrespecttopofcharK≠pandofsp(K)=NorNU{0}.ThenitisshownthatthenormedSylowp-subgroupS(KG)istorsioncompleteifandonlyifGisbounded(Theorem1).AnanalogousfactisprovedforthecasewhenKisofthesecondkind(Theorem2).ThesecompletelysettleaconjectureposedbyusinC
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