Current twisting and nonsingular matrices

Details Current twisting and nonsingular matrices Current twisting and nonsingular matrices

2009-07-06

arxiv.org/abs/0907.1075v2

Mathematics

Group Theory

23 pages, 1 figure; v2: minor changes

Scientific paper

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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