# 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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## 16 Citations

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