Journal of East China Normal University(Natural Sc ›› 2010, Vol. 2010 ›› Issue (1): 108-110.

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On weak emphc-supplement and formations (Chinese)

LIU Xiao-lei   

  1. Department of Applied Mathematics, Shanxi University of Finance and Economics, Taiyuan 030006, China
  • Received:2008-12-26 Revised:2009-03-20 Online:2010-01-25 Published:2010-01-25
  • Contact: LIU Xiao-lei

Abstract: By weak c-supplement we investigated the possibility that a finite group is in a saturated formation containing all supersoluble groups. It was showed that for a saturated formation mathcalF containing all supersoluble groups, if there exists a group G such that G contins a normal subgroup N and G/N is supersoluble and if maximal subgroups of Sylow subgroups of N are c-supplemented in G, then Gin mathcalF. Some results are extended.

Key words: weak c-supplement, saturated formation, finite group, weak c-supplement, saturated formation

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