INDICABLE GROUPS AND ENDOMORPHIC PRESENTATIONS

@article{Benli2011INDICABLEGA,
  title={INDICABLE GROUPS AND ENDOMORPHIC PRESENTATIONS},
  author={Mustafa Gokhan Benli},
  journal={Glasgow Mathematical Journal},
  year={2011},
  volume={54},
  pages={335 - 344}
}
  • M. Benli
  • Published 8 December 2011
  • Mathematics
  • Glasgow Mathematical Journal
Abstract 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. 
Presentations and Structural Properties of Self-similar Groups and Groups without Free Sub-semigroups
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