Test Elements, Generic Elements and Almost Primitivity in Free Products

DOI10.1142/S1005386716000298zbMath1352.20035MaRDI QIDQ2809250

Ann-Kristin Engel, Benjamin Fine, Gerhard Rosenberger

Publication date: 27 May 2016

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

zbMATH Keywords

free productstest elementsalmost primitive elements, generic elements

Mathematics Subject Classification ID

Geometric group theory (20F65) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06) Hyperbolic groups and nonpositively curved groups (20F67)

Related Items (1)

On Turner’s theorem and first-order theory

Cites Work

• Geometry of free products
• Test words, generic elements and almost primitivity
• Primitive, almost primitive, test, and \(\Delta\)-primitive elements of free algebras with the Nielsen-Schreier property
• Generic elements of free groups
• Generic, almost primitive and test elements of free Lie algebras
• Test Words for Automorphisms of Free Groups
• On Almost Primitive Elements of Free Groups With an Application to Fuchsian Groups

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