Subgroups of free groups and primitive elements

DOI10.1515/JGT.2010.010zbMath1206.20025OpenAlexW2061931666MaRDI QIDQ3584492

Richard Z. Goldstein, A. H. Clifford

Publication date: 30 August 2010

Published in: Journal of Group Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/jgt.2010.010

zbMATH Keywords

primitive elementsfinitely generated subgroupsautomorphisms of free groupssubgroups of free groups

Mathematics Subject Classification ID

Generators, relations, and presentations of groups (20F05) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Free nonabelian groups (20E05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items

Primitive and almost primitive elements of Schreier varieties, Sets of primitive elements in a free group., Detecting Fully Irreducible Automorphisms: A Polynomial Time Algorithm, TRANSVERSALS AS GENERATING SETS IN FINITELY GENERATED GROUPS

Cites Work

• Topology of finite graphs
• Monomorphisms of finitely generated free groups have finitely generated equalizers
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• ON THE COMPLEXITY OF THE WHITEHEAD MINIMIZATION PROBLEM
• The length and thickness of words in a free group
• On a Method of J. H. C. Whitehead
• On Certain Sets of Elements in a Free Group