Pride's folk conjecture on one-relator groups with torsion

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A one-relator group with torsion is a group with a presentation G=⟨X;Rn⟩G=\langle X;R^n\rangle, where RR is not a proper power and n>1n>1. 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.

References

Primary source

Alan D. Logan, “The JSJ-decompositions of one-relator groups with torsion”, arXiv:1412.5357 (2016).

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