【摘要】<正>LetNbeanormalsubgroupofafinitegroupG.LetbeanirreducibleBrauercharacterofN.Assumeπisasetofprimesand(1)/(1)isaπ’-numberforany.X∈IBr_p(G|).Ifp|G:N|,andNisp-solvable,thenG/Nhasanabelian-by-metabelianHall-πsubgroup:Ifpπ,thenG/NhasametabelianHall-πsubgroup.
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