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arxiv: 1412.5357 · v2 · pith:35GVX6TNnew · submitted 2014-12-17 · 🧮 math.GR

The JSJ-decompositions of one-relator groups with torsion

classification 🧮 math.GR
keywords groupsone-relatorstructuretorsionconjecturejsj-decompositionscloselyfolk
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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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