Date of Award

1-1-2011

Language

English

Document Type

Dissertation

Degree Name

Doctor of Philosophy (PhD)

College/School/Department

Department of Mathematics and Statistics

Content Description

1 online resource (vi, 72 pages) : illustrations.

Dissertation/Thesis Chair

Edward C Turner

Committee Members

Richard Goldstein, Steven Plotnick, Mark Steinberger

Keywords

anti-transpose, Free Group, geometric complexity, outer order, Shift Automorphism, Z_n-Graph, Automorphisms

Subject Categories

Physical Sciences and Mathematics

Abstract

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.

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