Endomorphisms of free groups that preserve automorphic orbits

DOI10.1006/jabr.2001.9041zbMath1013.20025OpenAlexW2058919913MaRDI QIDQ1604372

Donghi Lee

Publication date: 4 July 2002

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.9041

zbMATH Keywords

endomorphismsautomorphismsfinitely generated free groupsNielsen transformationsstandard Whitehead graphs

Mathematics Subject Classification ID

Automorphisms of infinite groups (20E36) Free nonabelian groups (20E05)

Related Items (6)

Test elements in pro-\(p\) groups with applications in discrete groups ⋮ 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 orbit problem for polynomial algebras ⋮ Test elements, retracts and automorphic orbits.

Cites Work

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• Generalized primitive elements of a free group
• On endomorphisms of free groups that preserve primitivity
• Recognizing automorphisms of the free groups
• On equivalent sets of elements in a free group
• PRIMITIVITY PRESERVING ENDOMORPHISMS OF FREE GROUPS

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