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

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

doi:10.1007/s00025-007-0245-5

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

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

Department of Mathematical Sciences

Fairfield University
TU Dortmund University

Research output: Contribution to journal › Article › peer-review

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 language	English
Pages (from-to)	183-193
Number of pages	11
Journal	Results in Mathematics
Volume	50
Issue number	3-4
DOIs	https://doi.org/10.1007/s00025-007-0245-5
State	Published - Aug 2007

Keywords

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

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10.1007/s00025-007-0245-5

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

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.",

keywords = "Baumslag-Solitar groups, Commutativtransitive and restricted Gromov groups, Conjugately separated abelian, HNN extension, One-relator groups",

author = "Benjamin Fine and Alexei Myasnikov and Rebel, \{Volkmar Gro{\ss}e\} and Gerhard Rosenberger",

year = "2007",

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language = "English",

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T1 - A classification of conjugately separated abelian, commutative transitive, and restricted gromov one-relator groups

AU - Fine, Benjamin

AU - Myasnikov, Alexei

AU - Rebel, Volkmar Große

AU - Rosenberger, Gerhard

PY - 2007/8

Y1 - 2007/8

N2 - 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.

AB - 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.

KW - Baumslag-Solitar groups

KW - Commutativtransitive and restricted Gromov groups

KW - Conjugately separated abelian

KW - HNN extension

KW - One-relator groups

UR - https://www.scopus.com/pages/publications/39049114141

UR - https://www.scopus.com/pages/publications/39049114141#tab=citedBy

U2 - 10.1007/s00025-007-0245-5

DO - 10.1007/s00025-007-0245-5

M3 - Article

AN - SCOPUS:39049114141

SN - 1422-6383

VL - 50

SP - 183

EP - 193

JO - Results in Mathematics

JF - Results in Mathematics

IS - 3-4

ER -

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

Abstract

Keywords

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