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Conjugacy problem in an automorphism group of an infinite tree

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Publication:1290797
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DOI10.1007/BF02314633zbMath0949.20025OpenAlexW2027579516MaRDI QIDQ1290797

A. V. Rozhkov

Publication date: 5 September 2000

Published in: Mathematical Notes (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02314633


zbMATH Keywords

Grigorchuk groupssolvable conjugacy problem


Mathematics Subject Classification ID

Periodic groups; locally finite groups (20F50) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)


Related Items

Unnamed Item ⋮ Key agreement based on automaton groups ⋮ The conjugacy problem in automaton groups is not solvable. ⋮ Some topics in the dynamics of group actions on rooted trees. ⋮ Log-space conjugacy problem in the Grigorchuk group ⋮ The conjugacy problem in the Grigorchuk group is polynomial time decidable. ⋮ Linear time algorithm for the conjugacy problem in the first Grigorchuk group ⋮ Quadratic equations in the Grigorchuk group.



Cites Work

  • On Burnside's problem on periodic groups
  • Conjugacy separability of certain torsion groups
  • CENTRALIZERS OF ELEMENTS IN A GROUP OF TREE AUTOMORPHISMS
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