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子群的完全c-可换性与p-可分群
  • ISSN号：2096-1928
  • 期刊名称：《服装学报》
  • 时间：0
  • 分类：O152.1[理学—数学;理学—基础数学]
  • 作者机构：[1]山东工商学院数学与信息科学学院,山东烟台264005
  • 相关基金：国家自然科学基金资助项目（10771180）
作者： 刘玉凤[1]
关键词： 有限群, 完全c-可换子群, 极小子群, p-可分群, finite group, c-permutable subgroup, minimal subgroup, p-decomposable group
中文摘要：

设妒表示p-可分群的群类。利用完全c-可换子群的概念，得到了p-可分群的两个充分条件：（1）如果群G的4阶循环子群在G中完全c-可换且G的任意极小子群含于Zφ（G）中，那么G是p-可分群；（2）设H G且G／H是p-可分群。如果H的任意阶循环子群在中完全c-可换且H的任意极小子群包含在Zφ（G）中，那么G是p-可分群。

英文摘要：

Let φ be the class of all p-decomposable groups. Using the concept, completely c-permutable subgroup of finite groups, two sufficient conditions of p-decomposable group are obtained ： （ 1 ） If any cyclic subgroup of G of order 4 is completely c-permutable in G and any minimal subgroup of G is contained in the φ-hypercenter of G, then G is a p-decomposable group ; （2） Let H be a normal subgroup of G and G/H be a p-decomposable group. If any cyclic subgroup of H of order 4 is completely c-permutable in G and any minimal subgroup of H is contained in φ-hypercenter of G, then G is a p-decomposable group.

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期刊信息
  • 《服装学报》
  • 中国科技核心期刊
  • 主管单位:中华人民共和国教育部
  • 主办单位:江南大学
  • 主编：高卫东
  • 地址：无锡市蠡湖大道1800号江南大学
  • 邮编：214122
  • 邮箱：fzcb@jiangnan.edu.cn
  • 电话：0510-85913519
  • 国际标准刊号：ISSN：2096-1928
  • 国内统一刊号：ISSN：32-1864/TS
  • 邮发代号:
  • 获奖情况:
  • 2000年荣获首届《CAJ-CD规范》执行优秀奖,2004年荣获全国高校科技期刊优秀编辑出版质量奖,2007年在"第六届江苏省期刊质量评估及优秀期刊评...,2007年在"第六届江苏省期刊质量评估及优秀期刊评...
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  • 被引量:18