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- W2351967012 abstract "In this paper, some resutls on the existence and conjugacy of complements of a normal subgroup of a finite group are studied. The main result is as follows. Let G/K be π solvable and let H be a Hall π subgroup of a finite group G with π=π(K) , (1) if every Sylow subgroup P 1 of K has a complement in a Sylow subgroup P of G containing P 1 and all complements of P 1 in P are seminormal in G , then K has a complement in G and (2) if, moreover, all complements of K in H are conjugate in H , then all complements of K in G are conjugate in G ." @default.
- W2351967012 created "2016-06-24" @default.
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- W2351967012 date "2003-01-01" @default.
- W2351967012 modified "2023-09-23" @default.
- W2351967012 title "On Complements of Normal Subgroups in Finite Groups I" @default.
- W2351967012 hasPublicationYear "2003" @default.
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