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math.GRFeb 26, 2008
19
citations (OpenAlex)
authors
  • O. Kharlampovich
  • I. G. Lysenok
  • A. G Myasnikov
  • N. W. M. Touikan
institutions
  • McGill University
  • Steklov Mathematical Institute
arXiv abstractPDF
paper

Quadratic equations over free groups are NP-complete

arXiv:0802.3839 · doi:10.1007/s00224-008-9153-7

Abstract

We prove that the problems of deciding whether a quadratic equation over a free group has a solution is NP-complete.

Cited by in corpus (3)

  • The winding invariant
  • Linear estimates for solutions of quadratic equations in free groups
  • Computing commutator length is hard
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