【摘要】 设G是有限群,M是G的极大子群.令K/N是G的一个主因子,K≤M而NM,称M∩N/K为M的一个CI-截,M的所有CI-截都同构.M在G中的一个完备是G的一个子群C,如果CM,而C的每个G-不变真子群都在M中.应用这些概念,本文得到了有关有限群可解性的新结论.更多还原

【Abstract】 Let Gbe a finite group and let Mbe a maximal subgroup of G.For a G-chief factor K/ Nsatisfying N≤M but KM,we call M∩K/Na c-section of M.All c-sections of Mare isomorphic.A completion of Min Gis a subgroup Cof Gsuch that CM while every proper subgroup of Cwhich is normal in Gis contained in M.By means of these concepts,some new results on the solvability of finite groups are obtained.更多还原