English

Almost solutions of equations in permutations

Group Theory 2007-09-10 v1

Abstract

We will say that the permutations f_1,...,f_n is an e-solution of an equation if the normalized Hamming distance between its l.h.p. and r.h.p. is less than e. We give a sufficient conditions when near to an e-solution exists an exact solution and some examples when there does not exist such a solution.

Cite

@article{arxiv.0709.1134,
  title  = {Almost solutions of equations in permutations},
  author = {Lev Glebsky and Luis Manuel Rivera},
  journal= {arXiv preprint arXiv:0709.1134},
  year   = {2007}
}
R2 v1 2026-06-21T09:15:08.992Z