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  1. (1. 西安电子科技大学 理学院, 陕西 西安 710071;
    2. 安徽建筑工业学院 数理系, 安徽 合肥 230022)

  • 收稿日期:1900-01-01 修回日期:1900-01-01 出版日期:2004-04-20 发布日期:2004-04-20

On the solvability of finite groups based on normal indexes

WEI Xian-biao1,2;YU Li1


  1. (1. School of Science, Xidian Univ., Xi'an 710071, China;
    2. Dept. of Mathematics, Anhui Inst. of Architecture & Industry, Hefei 230022, China)
  • Received:1900-01-01 Revised:1900-01-01 Online:2004-04-20 Published:2004-04-20

摘要: 有限群G的极大子群M的正规指数是指G的主因子H/K的阶,其中H为M在G中的极小正规补.文中利用正规指数的概念刻画有限群的可解性,给出了有限群可解的几个充分条件.

关键词: 有限群, 可解群, 正规指数

Abstract: For a maximal subgroup M of a finite group G, the normal index of M is defined as the order of a chief factor H/K, where H is minimal normal supplements of M in G. In this paper some sufficient conditions for solvability of finite groups are obtained by using the normal indexes of maximal subgroups.

Key words: finite group, solvable group, normal index


  • O152.1