Current twisting and nonsingular matrices

  • Matt T. Clay

    Allegheny College, Meadville, United States
  • Alexandra Pettet

    University of British Columbia, Vancouver, Canada


We show that for , given any matrix in GL(), there is a hyperbolic fully irreducible automorphism of the free group of rank whose induced action on is the given matrix.

Cite this article

Matt T. Clay, Alexandra Pettet, Current twisting and nonsingular matrices. Comment. Math. Helv. 87 (2012), no. 2, pp. 385–407

DOI 10.4171/CMH/257