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