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中文摘要：
利用群G的某些子群在G中或有F-s-补充，或为S-拟正规，给出有限群为超可解的若干充分条件，并将其中的一部分结果推广到群系中．一些已知结果得到推广：①若G的每个Sylow子群的极大子群在G中或有U-s-补充，或为S-拟正规，则G为超可解群．②设U为超可解群系，群G有一个正规子群N使得G／N∈U且N的所有Sylow子群的任意极大子群在G中或有U-s-补充，或为S-拟正规，则G∈U．③若群G的每个素数阶子群和4阶循环子群在G中或有U-s-补充，或为S-拟正规，则G为超可解群．
英文摘要：
The authors use the condition that some subgroups of a finite group G has a U-s- supplement or be S-quasinormal in G, to give Some conditions under which the group G is supersolvable and generalize some of these results into formations. Some known results are generalized. ① If every maximal subgroup of each Sylow subgroup of a group G has a U -s -supplement or be S-quasinormal in G, then G is supersoluble. ② Let U be a formation of supersoluble group and G has a normal subgroup N such that G/N ∈U. If every maximal subgroup of each Sylow subgroup of a group N has a U-s - supplement or be S-quasinormal in G, then G∈U. ③ If every subgroup of prime order or of order 4 of a group G has a U- s - supplement or be S quasinormal in G, then G is supersoluble.
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