Journal of Guangdong University of Technology ›› 2011, Vol. 28 ›› Issue (1): 54-57.

• Comprehensive Studies • Previous Articles     Next Articles

  

  • Online:2011-12-25 Published:2011-12-25

Abstract: Finite Groups with Some Almost cPermutable Subgroups
〖WT5BZ〗Qiao Shouhong, Guo Dachang
〖WT5”〗(Faculty of Applied Mathematics,Guangdong University of Technology,Guangzhou 510006,China)

Let G be a finite group,and H≤G.H is called almost c-permutable in Gif there is a subnormal subgroup TofG such that G=HT and H∩T is completely c-permutable in G.The influence of almost c-permutability of prime-power order subgroups on the structure of G is investigated,and some interesting results are obtained.

Key words: finite groups; weakly c-permutable; almost c-permutable; saturated formation; supersolvable groups

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