Current twisting and nonsingular matrices

@article{Clay2009CurrentTA,
  title={Current twisting and nonsingular matrices},
  author={Matt Clay and Alexandra Pettet},
  journal={arXiv: Group Theory},
  year={2009}
}
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. 

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