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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

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

CLC Number: 

  • O152.1