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- W2388103609 abstract "If there exists a subgroup K of G such that G=HK and |H∩K|_π=1, then a subgroup H of G is said to be π-supplemented in G. The authors give some sufficient conditions under which a group G is p-nilpotent by using π-supplementility of maximal subgroup and minimal subgroup of Sylow p-subgroup of G. Particularly, prove the following result: Let G be a group, p∈π and p be a prime divisor of |G|. If (|G|,p-1)=1 and every maximal subgroups of Sylow p-supgroup of G is π-supplemented in G, then G is p-nilpotent." @default.
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- W2388103609 date "2005-01-01" @default.
- W2388103609 modified "2023-09-22" @default.
- W2388103609 title "The influence of π-supplemented subgroups on the structure of finite groups" @default.
- W2388103609 hasPublicationYear "2005" @default.
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