称有限群G的子群H为G的条件c-次正规子群,如果G有正规子群K,使得HK G,且H∩K≤Hs G.利用极大子群和Hall-子群之间的联系,在满足条件c-次正规时给出了有限群可解的若干条件,并给出了一个群为可解群的若干充分条件.
A subgroup H of a group G is said to conditional c-subnormal in G if there exists a normal subgroup K of G such that HK —G with H∩K≤Hs G.With conditional c-subnormal subgroups,some sufficient conditions of solvable group are obtained and some results of related papers are generalized by the use of relations between maximum group and Hall-subgroup in this paper.