On generalized conjugacy and some related problems

DOI10.1080/00927872.2023.2186132zbMath1517.20054arXiv2211.10386OpenAlexW4323657332MaRDI QIDQ6100317

André Carvalho

Publication date: 22 June 2023

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2211.10386

zbMATH Keywords

virtually free groupsvirtually polycyclic groupsgeneralized conjugacy problemgeneralized Brinkmann problemgeneralized twisted conjugacy problem

Mathematics Subject Classification ID

Extensions, wreath products, and other compositions of groups (20E22) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Cites Work

• Unnamed Item
• Twisted conjugacy in braid groups.
• Group-theoretic orbit decidability.
• Detecting automorphic orbits in free groups.
• Conjugacy in polycyclic groups
• Conjugate separability in polycyclic groups
• Computability of finite quotients of finitely generated groups
• The generalized conjugacy problem for virtually free groups
• COSET ENUMERATION FOR CERTAIN INFINITELY PRESENTED GROUPS
• THE CONJUGACY PROBLEM IS SOLVABLE IN FREE-BY-CYCLIC GROUPS
• Polynomial-time algorithm for the orbit problem
• Orbit decidability and the conjugacy problem for some extensions of groups
• The twisted conjugacy problem for endomorphisms of polycyclic groups
• On a subclass of context-free groups
• On homomorphisms onto finite groups
• The orbit problem in higher dimensions
• On the decidability of some problems in special classes of groups

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