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GLASGOW MATHEMATICAL JOURNAL, vol.54, no.2, pp.335-344, 2012 (SCI-Expanded)
In this paperwe 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 (sic) Z, where H has finite ascending endomorphic presentation.