Typical elements in free groups are in different doubly-twisted conjugacy classes

DOI10.1016/j.topol.2010.02.017zbMath1200.55005arXiv0808.0277OpenAlexW2026938356MaRDI QIDQ975222

P. Christopher Staecker

Publication date: 9 June 2010

Published in: Topology and its Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0808.0277

zbMATH Keywords

free groupNielsen theorytwisted conjugacycoincidence theory

Mathematics Subject Classification ID

Fixed-point and coincidence theorems (topological aspects) (54H25) Fixed points and coincidences in algebraic topology (55M20) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (3)

Dynamics of random selfmaps of surfaces with boundary ⋮ Construction of multiply fixed \(n\)-valued maps ⋮ Remnant inequalities and doubly-twisted conjugacy in free groups

Cites Work

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• Train tracks and automorphisms of free groups
• The class of groups all of whose subgroups with lesser number of generators are free is generic
• THE CONJUGACY PROBLEM IS SOLVABLE IN FREE-BY-CYCLIC GROUPS
• Lectures on Nielsen fixed point theory
• An algorithm for calculating the Nielsen number on surfaces with boundary

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