The relative second Fox and third dimension subgroup of arbitrary groups
نویسنده
چکیده
Let IR(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∩ (1+ IR(K)IR(G)+ I3 R(G)) and the second relative Fox subgroup G ∩ (1 + IR(K)IR(H) + I2 R(G)IR(H)) for any subgroups K and H of G. Mathematical subjects classification: 20C07 (Primary), 20J05 (Secondary).
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