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arxiv: 1806.06031 · v1 · pith:D26DCECInew · submitted 2018-06-15 · 🧮 math.GR · cs.DS

Two Algorithms in Group Theory

classification 🧮 math.GR cs.DS
keywords groupproblemquasiconvexalgorithmalgorithmsconjugatecurveddecidability
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We present a new algorithm deciding if the intersection of a quasiconvex subgroup of a negatively curved group with a conjugate is finite. We also give a short proof of decidability of the membership problem for quasiconvex subgroups of finitely generated groups with decidable word problem.

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