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Relation modules of amalgamated free products and HNN extensions
Published online by Cambridge University Press: 18 May 2009
Extract
Let G be a group and
a free presentation of G, i.e. a short exact sequence of groups with F free. Conjugation in F induces on = R/R', the abelianized normal subgroup R, the structure of a right G-module (if r∈ R, x∈ F then (r)(xπ) = x-1rxR'). The G-module is called the relation module determined by the presentation (1). For a detailed discussion of this subject we refer to Gruenberg [3].
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- Copyright © Glasgow Mathematical Journal Trust 1989
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