The JSJ-decompositions of one-relator groups with torsion

Alan D. Logan

doi:10.1007/s10711-015-0097-1

The JSJ-decompositions of one-relator groups with torsion

Alan D. Logan

School of Engineering & Physical Sciences

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

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Abstract

In this paper we use JSJ-decompositions to formalise a folk conjecture recorded by Pride on the structure of one-relator groups with torsion. We prove a slightly weaker version of the conjecture, which implies that the structure of one-relator groups with torsion closely resemble the structure of torsion-free hyperbolic groups.

Original language	English
Pages (from-to)	171-185
Number of pages	15
Journal	Geometriae Dedicata
Volume	180
Issue number	1
DOIs	https://doi.org/10.1007/s10711-015-0097-1
Publication status	Published - Feb 2016

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abstract = "In this paper we use JSJ-decompositions to formalise a folk conjecture recorded by Pride on the structure of one-relator groups with torsion. We prove a slightly weaker version of the conjecture, which implies that the structure of one-relator groups with torsion closely resemble the structure of torsion-free hyperbolic groups.",

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AB - In this paper we use JSJ-decompositions to formalise a folk conjecture recorded by Pride on the structure of one-relator groups with torsion. We prove a slightly weaker version of the conjecture, which implies that the structure of one-relator groups with torsion closely resemble the structure of torsion-free hyperbolic groups.

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The JSJ-decompositions of one-relator groups with torsion

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