On ss-permutable subgroups of finite groups
Author(s): LU Jiakuan, GUO Xiuyun
Pages: 587-596
Year: 2010 Issue: 4
Journal: Pure and Applied Mathematics
Abstract: 设G为有限群,称G的子群日为ss-置换子群,如果存在G的次正规子群B使得G=HB,且H与B的任意Sylow子群可以交换,即对任意X∈Syl(B)有XH=HX.利用子群的ss-置换性来研究有限群的结构,得到有限群超可解的两个充分条件.
Pages: 587-596
Year: 2010 Issue: 4
Journal: Pure and Applied Mathematics
Abstract: 设G为有限群,称G的子群日为ss-置换子群,如果存在G的次正规子群B使得G=HB,且H与B的任意Sylow子群可以交换,即对任意X∈Syl(B)有XH=HX.利用子群的ss-置换性来研究有限群的结构,得到有限群超可解的两个充分条件.
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