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Knots in Washington XXXII, Categorification of Knots, Algebras, and Quandles; Quantum Computing
April 29 - May 1, 2011
George Washington University
Washington, DC, USA

Organizers
Valentina Harizanov (GWU), Jozef H. Przytycki (GWU), Yongwu Rong (GWU, NSF), Radmila Sazdanovic (U.Penn), Alexander Shumakovitch (GWU), Hao Wu (GWU)

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Shift automorphisms of free groups and homeomorphisms of graphs
by
Ted Turner
George Washington University
Coauthors: Venu Addepali Ben Atchison

A SHIFT AUTOMORPHISM of a free group is the analogue of a linear transformation whose RATIONAL CANONICAL FORM has a single block. We address the question of which automorphisms of finite order (or finite outer order) are shift automorphisms. In the process, we develop some useful invariants for HOMEOMORPHISMS OF FINITE GRAPHS.

Date received: April 22, 2011


Copyright © 2011 by the author(s). The author(s) of this work and the organizers of the conference have granted their consent to include this abstract in Topology Atlas. Document # cbcc-18.