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

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

2008-08-02

arxiv.org/abs/0808.0277v3

Topology and its Applications 157, 2010, p. 1736-1741

Mathematics

Group Theory

11 pages, synchronized with published version

Scientific paper

10.1016/j.topol.2010.02.017

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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