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arxiv: 0808.0277 · v3 · submitted 2008-08-02 · 🧮 math.GR · math.GN

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

classification 🧮 math.GR math.GN
keywords elementsclassesconjugacydoubly-twistedfreehomomorphismsalgebraiccheckable
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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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