INDICABLE GROUPS AND ENDOMORPHIC PRESENTATIONS


Benli M. G.

GLASGOW MATHEMATICAL JOURNAL, cilt.54, sa.2, ss.335-344, 2012 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 54 Konu: 2
  • Basım Tarihi: 2012
  • Doi Numarası: 10.1017/s0017089511000632
  • Dergi Adı: GLASGOW MATHEMATICAL JOURNAL
  • Sayfa Sayıları: ss.335-344

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.