On endomorphisms of free groups that preserve primitivity

DOI10.1007/s000130050309zbMath0926.20018OpenAlexW2007789893MaRDI QIDQ1291132

Sergei V. Ivanov

Publication date: 1 December 1999

Published in: Archiv der Mathematik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s000130050309

zbMATH Keywords

primitive elementsWhitehead automorphismsfree basesendomorphisms of free groups of finite rank

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Geometric group theory (20F65) Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05) Free products of groups, free products with amalgamation, Higman-Neumann-Neumann extensions, and generalizations (20E06)

Related Items (14)

PRIMITIVITY PRESERVING ENDOMORPHISMS OF FREE GROUPS ⋮ Endomorphisms preserving an orbit in a relatively free nilpotent group ⋮ Primitive and almost primitive elements of Schreier varieties ⋮ On primitive and inner endomorphisms of groups ⋮ Endomorphisms of free solvable groups preserving primitivity of systems of elements. ⋮ Automorphic and endomorphic reducibility and primitive endomorphisms of free metabelian groups ⋮ Automorphic orbit problem for polynomial algebras ⋮ Test elements, retracts and automorphic orbits. ⋮ Automorphic orbits in free non-associative algebras ⋮ Primitive elements and automorphisms of free algebras of Schreier varieties ⋮ On a Method of J. H. C. Whitehead ⋮ Primitive, almost primitive, test, and \(\Delta\)-primitive elements of free algebras with the Nielsen-Schreier property ⋮ Orbits and Test Elements in Free Leibniz Algebras of Rank Two ⋮ Endomorphisms of free groups that preserve automorphic orbits

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