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- W4299710050 abstract "Let $G$ be a group which is the semidirect product of a normal subgroup $N$ and some subgroup $T$. Let $I^n(G)$, $nge 1$, 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 $nle 4$ and arbitrary $G,N,T$ (except from one direct summand of $Q_4(G,N)$), and for all $nge 2$ if certain filtration quotients of $N$ and $T$ are torsionfree." @default.
- W4299710050 created "2022-10-02" @default.
- W4299710050 creator A5051382956 @default.
- W4299710050 date "2007-07-03" @default.
- W4299710050 modified "2023-09-25" @default.
- W4299710050 title "On Fox and augmentation quotients of semidirect products" @default.
- W4299710050 doi "https://doi.org/10.48550/arxiv.0707.0362" @default.
- W4299710050 hasPublicationYear "2007" @default.
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