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

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DOI

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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     author = {BENLI, MUSTAFA G\"OKHAN},
     title = {INDICABLE {GROUPS} {AND} {ENDOMORPHIC} {PRESENTATIONS}},
     journal = {Glasgow mathematical journal},
     pages = {335--344},
     year = {2012},
     volume = {54},
     number = {2},
     doi = {10.1017/S0017089511000632},
     url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000632/}
}
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