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Relation modules of amalgamated free products and HNN extensions

Published online by Cambridge University Press:  18 May 2009

Torsten Hannebauer
Torsten Hannebauer
Affiliation:
Humboldt-Universität zu Berlin, Sektion Mathematik, Unter den Linden 6, Berlin, GDR—1086
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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].

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 31 , Issue 3 , September 1989 , pp. 263 - 270
Copyright
Copyright © Glasgow Mathematical Journal Trust 1989

References

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3.Gruenberg, K. W., Relation modules of finite groups, CBMS Regional Conference Series in Mathematics 25 (Providence, 1976).CrossRefGoogle Scholar
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