A classification of conjugately separated abelian, commutative transitive, and restricted gromov one-relator groups

Benjamin Fine, Alexei Myasnikov, Volkmar Große Rebel, Gerhard Rosenberger

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14 Scopus citations

Abstract

In this note we describe a classification of conjugately separated abelian, commutative transitive, and restricted Gromov one-relator groups in form of necessary and sufficient conditions together with some equivalences between these three classes of one-relator groups.

Original languageEnglish
Pages (from-to)183-193
Number of pages11
JournalResults in Mathematics
Volume50
Issue number3-4
DOIs
StatePublished - Aug 2007

Keywords

  • Baumslag-Solitar groups
  • Commutativtransitive and restricted Gromov groups
  • Conjugately separated abelian
  • HNN extension
  • One-relator groups

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