On suspensions and conjugacy of hyperbolic automorphisms

François Dahmani (1)

1 IF - Institut Fourier

We remark that the conjugacy problem for pairs of hyperbolic automorphisms of a finitely presented group (typically a free group) is decidable. The solution that we propose uses the isomorphism problem for the suspensions, and the study of their automorphism group.

Domaines: Théorie des groupes [math.GR]; Topologie géométrique [math.GT]

François Dahmani. On suspensions and conjugacy of hyperbolic automorphisms. Transactions of the American Mathematical Society, 2016, 368 (8), pp.5565 - 5577. ⟨10.1090/tran/6530⟩. ⟨hal-01651860⟩