Remnant inequalities and doubly-twisted conjugacy in free groups

DOI10.1016/j.jpaa.2010.10.005zbMath1227.55001arXiv0806.4687OpenAlexW2049323541MaRDI QIDQ531378

P. Christopher Staecker

Publication date: 29 April 2011

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

Full work available at URL: https://arxiv.org/abs/0806.4687

zbMATH Keywords

densityfree groupsexpected valuesdoubly-twisted conjugacy classesremnant homomorphismremnant tupletwisted conjugacy class

Mathematics Subject Classification ID

Related Items (5)

Algorithms for Nielsen type periodic numbers of maps with remnant on surfaces with boundary and on bouquets of circles II ⋮ The twisted conjugacy problem for finitely generated free groups. ⋮ The Wecken property for random maps on surfaces with boundary ⋮ The WYK algorithm for maps of aspherical figure-eight type finite polyhedra ⋮ The Nielsen number on aspherical figure-eight type polyhedra

Uses Software

• GAP

Cites Work

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• Computation of Nielsen numbers for maps of compact surfaces with boundary
• The Nielsen number for free fundamental groups and maps without remnant
• Typical elements in free groups are in different doubly-twisted conjugacy classes
• On the probability that the values of m polynomials have a given g.c.d
• On the probability that \(k\) positive integers are relatively prime
• THE CONJUGACY PROBLEM IS SOLVABLE IN FREE-BY-CYCLIC GROUPS
• Algorithms for Nielsen type periodic numbers of maps with remnant on surfaces with boundary and on bouquets of circles I
• Lectures on Nielsen fixed point theory
• An algorithm for calculating the Nielsen number on surfaces with boundary

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