A generalization of a power-conjugacy problem in torsion-free negatively curved groups

DOI10.2140/tunis.2020.2.841OpenAlexW2995909091WikidataQ126589380 ScholiaQ126589380MaRDI QIDQ2289393

Rita Gitik

Publication date: 28 January 2020

Published in: Tunisian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1712.02653

zbMATH Keywords

conjugacy problemnegatively curved groupquasiconvex subgroup

Mathematics Subject Classification ID

Geometric group theory (20F65) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10) Hyperbolic groups and nonpositively curved groups (20F67)

Cites Work

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• The isomorphism problem for all hyperbolic groups.
• Recursive unsolvability of group theoretic problems
• Nielsen generating sets and quasiconvexity of subgroups
• The power conjugacy problem in Higman–Thompson groups
• THE WORD PROBLEM
• THE CONJUGACY PROBLEM IS SOLVABLE IN FREE-BY-CYCLIC GROUPS
• The solvability of the conjugacy problem for certain HNN groups
• Widths of Subgroups
• On intersections of conjugate subgroups
• On the residual finiteness and other properties of (relative) one-relator groups
• Dehn's algorithm for the word problem
• Groups with certain solvable and unsolvable decision problems

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