Title: Weakly c-normal Subgroups and Solvability of Finite Groups
Abstract: In this paper,some properties of weakly c-normal subgroups are discussed.By using them the conditions for a finite group to be solvable are give as follows:(1) Let H be a subgroup of G.If every Sylow p-subgroup of H is weakly c-normal in G and =paqb,then G is solvable.(2) Let H be a solvable Hall subgroup of even order and solvable in G,if H is weakly c-normal in G,then G is solvable.
Publication Year: 2008
Publication Date: 2008-01-01
Language: en
Type: article
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