Proceedings of the Steklov Institute of Mathematics

, 274:136

A polynomial bound on solutions of quadratic equations in free groups


    • Steklov Mathematical InstituteRussian Academy of Sciences
  • Alexei G. Myasnikov
    • Department of Mathematical Sciences, Stevens Institute of TechnologyCastle Point on Hudson

DOI: 10.1134/S0081543811060101

Cite this article as:
Lysenok, I.G. & Myasnikov, A.G. Proc. Steklov Inst. Math. (2011) 274: 136. doi:10.1134/S0081543811060101


We provide polynomial upper bounds on the size of a shortest solution for quadratic equations in a free group. A similar bound is given for parametric solutions in the description of solution sets of quadratic equations in a free group.

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© Pleiades Publishing, Ltd. 2011