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arxiv: 0907.1075 · v2 · submitted 2009-07-06 · 🧮 math.GR · math.GT

Current twisting and nonsingular matrices

classification 🧮 math.GR math.GT
keywords givenmatrixactionautomorphismcurrentfreefullygroup
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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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