On the Conjugacy Problem for Cyclic Extensions of Free Groups

DOI10.1081/AGB-200063346zbMath1090.20022arXivmath/0402060OpenAlexW2086057339MaRDI QIDQ5466668

Andrei Vesnin, Valeriy G. Bardakov, Leonid A. Bokut'

Publication date: 25 August 2005

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

Full work available at URL: https://arxiv.org/abs/math/0402060

zbMATH Keywords

split extensionsfree groupsconjugacy problemvirtually inner automorphisms

Mathematics Subject Classification ID

Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

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Cites Work

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• Small cancellation conditions satisfied by one-relator groups
• Decidability of the conjugacy problem does not carry over to finite extensions of groups
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• The conjugacy problem for knot groups
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• Artin-Gruppen und Coxeter-Gruppen
• Separating Conjugates in Free-by-Finite Groups
• The Conjugacy Problem and Subgroups of Finite Index
• Mapping tori of endomorphisms of free groups
• Some results on one-relator groups
• THE BRAID GROUP AND OTHER GROUPS

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