Current twisting and nonsingular matrices
Group Theory
2010-03-18 v2 Geometric Topology
Abstract
We show that for k at least 3, given any matrix in GL(k,Z), there is a hyperbolic fully irreducible automorphism of the free group of rank k whose induced action on Z^k is the given matrix.
Keywords
Cite
@article{arxiv.0907.1075,
title = {Current twisting and nonsingular matrices},
author = {Matt Clay and Alexandra Pettet},
journal= {arXiv preprint arXiv:0907.1075},
year = {2010}
}
Comments
23 pages, 1 figure; v2: minor changes