有限群的某些Sylow子群与可解性

Some Sylow Subgroups And The Solvability Of Finite Group

对任意有限群G ,利用其Sylow 2 -子群和Sylow 3-子群的c -可补或半正规等条件刻画原群G的可解性 ,给出G可解的两个充分条件 ,推广了相关文献的一些结果 .

For any finite group G, in this paper we try to use weakly condition some Sylow 2-subgroups and Sylow 3-subgroups of G to characterize the solvability of G, and obtain some sufficient conditions for solvable group G.Some known results in the relevant reference are improved.