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arXiv · 0808.0277

Typical elements in free groups are in different doubly-twisted conjugacy classes

P. Christopher Staecker
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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.

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P. Christopher Staecker. 2008-08-02. Typical elements in free groups are in different doubly-twisted conjugacy classes. https://doi.org/10.1016/j.topol.2010.02.017

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