The twisted conjugacy problem for finitely generated free groups.

DOI10.1016/j.jpaa.2015.08.011zbMath1331.20040OpenAlexW2212822656WikidataQ112882034 ScholiaQ112882034MaRDI QIDQ898172

Seung Won Kim

Publication date: 8 December 2015

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.2015.08.011

zbMATH Keywords

algorithmsendomorphismstwisted conjugacy problemfinitely generated free groupsNielsen numbers

Mathematics Subject Classification ID

Conjugacy classes for groups (20E45) Automorphisms of infinite groups (20E36) Fixed points and coincidences in algebraic topology (55M20) Free nonabelian groups (20E05) Word problems, other decision problems, connections with logic and automata (group-theoretic aspects) (20F10)

Related Items (1)

Fixed points and stable images of endomorphisms for the free group of rank two

Cites Work

• Remnant inequalities and doubly-twisted conjugacy in free groups
• The WYK algorithm for maps of aspherical figure-eight type finite polyhedra
• Computation of Nielsen numbers for maps of compact surfaces with boundary
• Combinatorial group theory.
• Nielsen numbers of maps of aspherical figure-eight type polyhedra
• Algorithms for Nielsen type periodic numbers of maps with remnant on surfaces with boundary and on bouquets of circles II
• 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
• Reidemeister conjugacy for finitely generated free fundamental groups
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