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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2011, Volume 274, Pages 148–190 (Mi tm3318)  
This article is cited in 5 scientific papers (total in 5 papers)

A polynomial bound on solutions of quadratic equations in free groups

Igor G. Lysenoka, Alexei G. Myasnikovb

a Steklov Mathematical Institute, Russian Academy of Sciences, Moscow, Russia
b Department of Mathematical Sciences, Stevens Institute of Technology, Castle Point on Hudson, Hoboken, NJ, USA
Full-text PDF (500 kB) Citations (5)
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Abstract: 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.
Received in June 2011
English version:
Proceedings of the Steklov Institute of Mathematics, 2011, Volume 274, Pages 136–173
DOI: https://doi.org/10.1134/S0081543811060101
Bibliographic databases:
Document Type: Article
UDC: 512.54.05+510.52
Language: Russian
Citation: Igor G. Lysenok, Alexei G. Myasnikov, “A polynomial bound on solutions of quadratic equations in free groups”, Algorithmic aspects of algebra and logic, Collected papers. Dedicated to Academician Sergei Ivanovich Adian on the occasion of his 80th birthday, Trudy Mat. Inst. Steklova, 274, MAIK Nauka/Interperiodica, Moscow, 2011, 148–190; Proc. Steklov Inst. Math., 274 (2011), 136–173
Citation in format AMSBIB
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\paper A polynomial bound on solutions of quadratic equations in free groups
\inbook Algorithmic aspects of algebra and logic
\bookinfo Collected papers. Dedicated to Academician Sergei Ivanovich Adian on the occasion of his 80th birthday
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\vol 274
\pages 148--190
\publ MAIK Nauka/Interperiodica
\publaddr Moscow
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    • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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