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有限群的PCSM-子群
  • 期刊名称：青岛大学学报，21:3(2008),12-14
  • 时间：0
  • 分类：O152.1[理学—数学;理学—基础数学]
  • 作者机构：[1]盐城工学院基础教学部,江苏盐城224051
  • 相关基金：国家自然科学基金资助项目（10771180）
  • 相关项目：有限群的算术性质
关键词： PCSM-子群, 极大子群, P-超可解, PCSM-Subgroup, maximal subgroup, P-supersolvable
中文摘要：

设是一个有限群,为的子群,如果对于的任意Sylow子群的极大子群,至少存在的一个共轭子群,,使得,则称子群为的PCSM-子群.本文利用群的PC-SM-子群获得了群为超可解群的一个充要条件.

英文摘要：

Suppose G is a limited group and H is a subgroup of G,subgroup H of G is called PCSM-Subgroups in G if there exists at least one G-conjugate of each maximal subgroup M of any Sylow subgroup of G,such that HMx=MxH for some xG.In this paper,a sufficient or necessary condition of a finite group G which is P-supersolvable is obtained by using the PCSM-Subgroups of G.

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