Geodesic
INDICABLE GROUPS AND ENDOMORPHIC PRESENTATIONS
Glasgow mathematical journal, Tome 54 (2012) no. 2, pp. 335-344

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

In this paper we look at presentations of subgroups of finitely presented groups with infinite cyclic quotients. We prove that if H is a finitely generated normal subgroup of a finitely presented group G with G/H cyclic, then H has ascending finite endomorphic presentation. It follows that any finitely presented indicable group without free semigroups has the structure of a semidirect product H ⋊ Z, where H has finite ascending endomorphic presentation.
DOI : 10.1017/S0017089511000632
Mots-clés : 20F05 
BENLI, MUSTAFA GÖKHAN. INDICABLE GROUPS AND ENDOMORPHIC PRESENTATIONS. Glasgow mathematical journal, Tome 54 (2012) no. 2, pp. 335-344. doi: 10.1017/S0017089511000632
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