arXiv:1412.5357 Abstract | arXiv Analytics

arXiv:1412.5357 [math.GR]Abstract References Reviews Resources

The JSJ-decompositions of one-relator groups with torsion

Published 2014-12-17Version 1

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.

Comments: 20 pages, 2 figures

Categories: math.GR

Subjects: 20E99, 20F65, 20F67

Keywords: one-relator groups, jsj-decompositions, torsion-free hyperbolic groups, slightly weaker version, folk conjecture

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