Document Type
Article
Article Version
Post-print
Publication Date
2010
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.
Publication Title
Topology and its Applications
Repository Citation
Staecker, Christopher P., "Typical elements in free groups are in different doubly-twisted conjugacy classes" (2010). Mathematics Faculty Publications. 23.
https://digitalcommons.fairfield.edu/mathandcomputerscience-facultypubs/23
Published Citation
Staecker, P. Christopher. 2010. Typical elements in free groups are in different doubly-twisted conjugacy classes. Topology and its Applications 157 (10-11), 1736-1741.
DOI
10.1016/j.topol.2010.02.017
Peer Reviewed
Comments
Copyright 2010 Elsevier, Topology and its Applications
NOTICE: 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 [157, 10-11, 2010] DOI: 10.1016/j.topol.2010.02.017