In this paper, we give some new conditions of the existence of Hall subgroups in non-soluble finite groups, and so the famous Hall theorem and Schur-Zassenhaus theorem are generalized.
基金The research is supported by the NNSF of China （Grant 11371335） and the Natural Science Foundation of Shandong Province （Grant ZR2014AL001）, China.
文摘In this paper, we give some new conditions of the existence of Hall subgroups in non-soluble finite groups, and so the famous Hall theorem and Schur-Zassenhaus theorem are generalized.
