有限群的S-半置换和C-可补子群
유한군적S-반치환화C-가보자군
On s-semipermutable and c-supplemented Subgroups of Finite Groups
  • 万方数据
    广西师范学院学报（自然科学版） 엄서사범학원학보（자연과학판）
    JOURNAL OF GUANGXI TEACHERS EDUCATION UNIVERSITY(NATURAL SCIENCE EDITION)
    2008年 3期 5-9 ,共5页

    唐曾林%韦华全%蒙中传

    당증림%위화전%몽중전

    超可解群%饱和群系%极大子群 超可解群%飽和群繫%極大子群
    초가해군%포화군계%겁대자군
    s-semipermutable%c-supplemented%maximal subgroup
    设G是一个有限群,许多学者对西罗子群的极大子群的性质对群G的结构的影响问题都怀有浓厚的兴趣并进行了广泛的研究.该文利用非循环西罗子群的极大子群的S-半置换和C-可补性刻画了G的结构,推广了一些已有结果.
    설G시일개유한군,허다학자대서라자군적겁대자군적성질대군G적결구적영향문제도부유농후적흥취병진행료엄범적연구.해문이용비순배서라자군적겁대자군적S-반치환화C-가보성각화료G적결구,추엄료일사이유결과.
    Let G be a finite group, the question of how the properties of its maximal subgroups of Sylow subgroups influence the structure of G is of considerable interest for scholars. In this paper, we try to use the s-semipermutability and c-supplementation of maximal subgroups of non-cyclic Sylow subgroups to characterize the structure of G. Some known results are generalized.
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