Skip to main content
Nielsen equalizer theory
Topology and its Applications
  • Christopher P. Staecker, Fairfield University
Document Type
Article Version
Publication Date

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.


Copyright 2011 Elsevier, Topology and its Applications

This is the author’s version of a work that was accepted for publication in Topology and its Applications. Changes resulting from the publishing process, such as peer review, editing, corrections, structural formatting, and other quality control mechanisms may not be reflected in this document. Changes may have been made to this work since it was submitted for publication. A definitive version was subsequently published in Topology and its Applications , 158, 2011, p. 1615–1625, DOI: 10.1016/j.topol.2011.05.032

Published Citation
Staecker, P. Christopher, Nielsen equalizer theory. Topology and its Applications 158, 2011, p. 1615–1625.
Peer Reviewed
Citation Information
Christopher P. Staecker. "Nielsen equalizer theory" Topology and its Applications Vol. 158 (2011)
Available at: