English

Compressed words and automorphisms in fully residually free groups

Group Theory 2009-10-21 v3

Abstract

We show that the compressed word problem in a finitely-generated fully residually free group (F -group) is decidable in polynomial time, and use the result to show that the word problem in the automorphism group of such a group is decidable in polynomial time.

Keywords

Cite

@article{arxiv.0908.0569,
  title  = {Compressed words and automorphisms in fully residually free groups},
  author = {Jeremy Macdonald},
  journal= {arXiv preprint arXiv:0908.0569},
  year   = {2009}
}

Comments

Proof of Theorem 9 (now Theorem 10) clarified, improved notation. 13 pages

R2 v1 2026-06-21T13:32:30.904Z