On certain elements of free groups

DOI10.1006/jabr.1997.7354zbMath0912.20021OpenAlexW2039344234MaRDI QIDQ1270956

Sergei V. Ivanov

Publication date: 25 May 1999

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

Full work available at URL: https://doi.org/10.1006/jabr.1997.7354

zbMATH Keywords

endomorphismsfree groups\(C\)-test words\(M\)-test wordstest words for automorphismstest words for monomorphisms

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)

Related Items (10)

Magnus pairs in, and free conjugacy separability of, limit groups ⋮ Ambiguity of Morphisms in a Free Group ⋮ On certain \(C\)-test words for free groups ⋮ On free decompositions of verbally closed subgroups in free products of finite groups ⋮ JSJ DECOMPOSITIONS OF DOUBLES OF FREE GROUPS ⋮ Canonicality of Makanin-Razborov diagrams -- counterexample ⋮ Free products of groups are strongly verbally closed ⋮ ON ENDOMORPHISMS OF TORSION-FREE HYPERBOLIC GROUPS ⋮ Equations in acylindrically hyperbolic groups and verbal closedness ⋮ Unambiguous injective morphisms in free groups

Cites Work

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• Über Worte \(S_1^{a_1}, S_2^{a_2}, \ldots, S_q^{a_q}\) in einer freien Gruppe mit \(p\) freien Erzeugenden
• The equation \(a_ M=b^ Nc^ P\) in a free group
• Commutator equations in free groups
• Recognizing automorphisms of the free groups
• Generic elements of free groups
• Über Automorphismen ebener diskontinuierlicher Gruppen
• Cohomology theory of groups with a single defining relation
• Test Words for Automorphisms of Free Groups

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