The relative second Fox and third dimension subgroup of arbitrary groups

Manfred Hartl

paper

The relative second Fox and third dimension subgroup of arbitrary groups

arXiv:0707.0286

Abstract

Let $I_{R} (G)$ denote the augmentation ideal of the group algebra $R (G)$ of a group $G$ with coefficients in a commutative ring $R$ . We give a complete description of the third relative dimension subgroup $G \cap (1 + I_{R} (K) I_{R} (G) + I_{R}^{3} (G))$ and the second relative Fox subgroup $G \cap (1 + I_{R} (K) I_{R} (H) + I_{R}^{2} (G) I_{R} (H))$ for any subgroups $K$ and $H$ of $G$ .

arXiv comment17 pages

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On Fox quotients of arbitrary group algebras

The relative second Fox and third dimension subgroup of arbitrary groups

Abstract

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