Homology of invariant group chains
نویسنده
چکیده
Let G be a group and let X be a generating set for G. Let F be a free group with basis in one-to-one correspondence to X. The kernel of the canonical map F → G is denoted by R(G, X) and is called the relation subgroup associated with X. If we abelianize the group R = R(G, X), we obtain a ZG-module M(G, X) = R/[R, R], where the G-action is given by conjugation. This module is called the relation module associated with X.
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