INDICABLE GROUPS AND ENDOMORPHIC PRESENTATIONS
GLASGOW MATHEMATICAL JOURNAL, cilt.54, sa.2, ss.335-344, 2012 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 54 Sayı: 2
- Basım Tarihi: 2012
- Doi Numarası: 10.1017/s0017089511000632
- Dergi Adı: GLASGOW MATHEMATICAL JOURNAL
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.335-344
- Orta Doğu Teknik Üniversitesi Adresli: Hayır
Özet
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.