Nielsen equalizer theory

Christopher P. Staecker

doi:10.1016/j.topol.2011.05.032

Nielsen equalizer theory

Christopher P. Staecker

Fairfield University

Research output: Contribution to journal › Article › peer-review

Abstract

We give an easily checkable algebraic condition which implies that two elements of a finitely generated free group are members of distinct doubly-twisted conjugacy classes with respect to a pair of homomorphisms. We further show that this criterion is satisfied with probability 1 when the homomorphisms and elements are chosen at random.

Original language	American English
Journal	Topology and its Applications
Volume	158
DOIs	https://doi.org/10.1016/j.topol.2011.05.032
State	Published - Jan 1 2011

Keywords

Nielsen theory
Coincidence theory
Twisted conjugacy
Doubly-twisted conjugacy
Asymptotic density

Disciplines

Computer Sciences
Physical Sciences and Mathematics

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10.1016/j.topol.2011.05.032License: CC BY

Nielsen equalizer theoryFinal published version, 341 KBLicense: CC BY

Cite this

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AB - We give an easily checkable algebraic condition which implies that two elements of a finitely generated free group are members of distinct doubly-twisted conjugacy classes with respect to a pair of homomorphisms. We further show that this criterion is satisfied with probability 1 when the homomorphisms and elements are chosen at random.

KW - Nielsen theory

KW - Coincidence theory

KW - Twisted conjugacy

KW - Doubly-twisted conjugacy

KW - Asymptotic density

UR - https://digitalcommons.fairfield.edu/mathandcomputerscience-facultypubs/32

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DO - 10.1016/j.topol.2011.05.032

M3 - Article

VL - 158

JO - Topology and its Applications

JF - Topology and its Applications

ER -

Nielsen equalizer theory

Abstract

Keywords

Disciplines

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