The WYK algorithm for maps of aspherical figure-eight type finite polyhedra

DOI10.1016/j.jpaa.2011.10.032zbMath1255.55001OpenAlexW2027893822MaRDI QIDQ714117

Seung Won Kim

Publication date: 19 October 2012

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jpaa.2011.10.032

zbMATH Keywords

algorithmfree groupNielsen number

Mathematics Subject Classification ID

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

Related Items (5)

Algorithms for Nielsen type periodic numbers of maps with remnant on surfaces with boundary and on bouquets of circles II ⋮ Construction of multiply fixed \(n\)-valued maps ⋮ The twisted conjugacy problem for finitely generated free groups. ⋮ Some developments in Nielsen fixed point theory ⋮ The Nielsen number on aspherical figure-eight type polyhedra

Cites Work

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• Remnant inequalities and doubly-twisted conjugacy in free groups
• Classes of Wecken maps of surfaces with boundary
• Computation of Nielsen numbers for maps of compact surfaces with boundary
• Fixed points and braids
• Minimizing the number of fixed points for self-maps of compact surfaces
• Bounds for fixed points on surfaces
• Fixed points and braids. II
• Nielsen numbers of maps of aspherical figure-eight type polyhedra
• Lectures on Nielsen fixed point theory
• The Nielsen number on surfaces
• An algorithm for calculating the Nielsen number on surfaces with boundary
• MINIMUM NUMBER OF FIXED POINTS FOR MAPS OF THE FIGURE EIGHT SPACE

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