Pride's folk conjecture on one-relator groups with torsion
Pride's folk conjecture on one-relator groups with torsion
A one-relator group with torsion is a group with a presentation , where is not a proper power and . Pride's folk conjecture. Apart from the complications introduced by having elements of finite order, one-relator groups with torsion should behave much like free groups. The paper formalises this claim using JSJ-decompositions and proves a slightly weaker version, reflecting the close analogy between one-relator groups with torsion and torsion-free hyperbolic groups.
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Sources & referencesView supporting material
Primary source
Alan D. Logan, “The JSJ-decompositions of one-relator groups with torsion”, arXiv:1412.5357 (2016).
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