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- W2049241762 abstract "Let G be a group which is the semidirect product of a normal subgroup N and some subgroup T . Let I n ( G ) , n ⩾ 1 , denote the powers of the augmentation ideal I ( G ) of the group ring Z ( G ) . Using homological methods the groups Q n ( G , H ) = I n − 1 ( G ) I ( H ) / I n ( G ) I ( H ) , H = G , N , T , are functorially expressed in terms of enveloping algebras of certain Lie rings associated with N and T , in the following cases: for n ⩽ 4 and arbitrary G , N , T (except from one direct summand of Q 4 ( G , N ) ), and for all n ⩾ 2 if certain filtration quotients of N and T are torsion-free." @default.
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- W2049241762 date "2010-12-01" @default.
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- W2049241762 title "On Fox and augmentation quotients of semidirect products" @default.
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- W2049241762 doi "https://doi.org/10.1016/j.jalgebra.2010.05.035" @default.
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