Growth and order of automorphisms of free groups and free Burnside groups

Abstract

We prove that an outer automorphism of the free group is exponentially growing if and only if it induces an outer automorphism of infinite order of free Burnside groups with sufficiently large odd exponent.

36 pages, 4 figures

References in corpus (2)

• Small cancellation theory and Burnside problem
• Partial periodic quotient of groups acting on a hyperbolic space

Cited by in corpus (1)

• Relative hyperbolicity for automorphisms of free products