journal6 ›› 2008, Vol. 29 ›› Issue (3): 29-30.

• Mathematics • Previous Articles     Next Articles

Weakly c-Normal Subgroups and Solvability of Finite Groups


  1. (1.School of Mathematics and Information Sciences,Guangxi University,Nanning 530004,Guangxi China;2.Hunan University of Science and Engineering,Yongzhou 425100,Hunan China)
  • Online:2008-05-25 Published:2012-05-23

Abstract: A subgroup H of a finite group G is said to be weakly c-normal in G;if there exists a subnormal subgroup K of G such that G=HK and H∩K≤HG=CoreG(H),where HG=∩x∈GHx is the largest normal subgroup of G,contained in H.Some conditions of a solvable group are given by using weakly c-normality of subgroups.

Key words: maximal group, weakly c-normal subgroup, solvable group

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