Geodesic
Relation modules of amalgamated free products and HNN extensions
Glasgow mathematical journal, Tome 31 (1989) no. 3, pp. 263-270

Voir la notice de l'article provenant de la source Cambridge University Press

Let G be a group anda 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]. 
Hannebauer, Torsten. Relation modules of amalgamated free products and HNN extensions. Glasgow mathematical journal, Tome 31 (1989) no. 3, pp. 263-270. doi: 10.1017/S0017089500007849
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[1] 1.Bieri, R., Mayer-Vietoris sequences for HNN groups and homological duality, Math. Z. 143 (1975), 123–130. Google Scholar | DOI

[2] 2.Gruenberg, K. W., Cohomological topics in group theory, Lecture Notes in Mathematics 143 (Springer, 1970). Google Scholar | DOI

[3] 3.Gruenberg, K. W., Relation modules of finite groups, CBMS Regional Conference Series in Mathematics 25 (Providence, 1976). Google Scholar | DOI

[4] 4.Hilton, J. P. and Stammbach, U., A course in homological algebra, Graduate Texts in Mathematics 4 (Springer, 1971). Google Scholar | DOI

[5] 5.Lyndon, R. C. and Schupp, P. E., Combinatorial group theory (Springer, 1977). Google Scholar

[6] 6.Stammbach, U., Homology in group theory, Lecture Notes in Mathematics 359 (Springer, 1973). Google Scholar | DOI

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