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| On the k(B)-problem with Cyclic Sylow 2-subgroups | |
| 作者姓名： | 吕克伟 |
| 摘 要： | AdriousopenprobleminrepreselltationtheoryoffinitegroupsistoprovethatthenUInerk(B)ofordinaryirreduciblecharactersinapblockBofafinitegroupisatm0stIDl,theorderofadefectgroupofB.Theb0undk(B)54 1ofBrauerandFeit1]isthebestgeneralresultknown.Theproblemisverydifficultevenforp-s0hablegroups.Nagaol8]showedthattheinequalityk(B)5IDlforp-s0lVablegroupswouldfollowfromanaffirmativesolutiontotheso-calledk(GV)-problem:k(GV)SfVl,whereVisafinitedimensionalvectorspaceoverthefieldGF(P)foraprimep,p'-grou… |
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