Shift automorphisms of finite outer order
Benjamin Atchison · 2011
A shift automorphism α of the free group Fn is an automorphism with the property that α(xi)=xi+1 for 0≤ i≤ n-2, for some basis {x0,...,xn-1} of Fn. We consider the problem of classifying shift automorphisms of finite outer order. The motivation is to expound upon the result's of V. Addepalli and E. Turner, and to further develop the analogy with rational canonical forms for matrices and certain families of finite graphs.