The conjugacy problem in automaton groups is not solvable

Mathematics – Group Theory

Scientific paper

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Scientific paper

(Free-abelian)-by-free, self-similar groups generated by finite self-similar
sets of tree automorphisms having unsolvable conjugacy problem are constructed.
Along the way, orbit undecidable, free subgroups of GL_d(Z), for d > 5, and
Aut(F_d), for d > 4, are constructed as well.

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