Communications
Mathematics

General solution of quadratic equations in free groups

G. S. Makanin^a, A. Sh. Malkhasyan<sup>b

a</sup> Steklov Mathematical Institute of Russian Academy of Sciences, Moscow
^b Yerevan State University

Abstract: The general solution of quadratic equations in free group using an automat, specified by the certain oriented graph is presented.

Keywords: quadratic equation, free group, equation in free semigroup.

MSC: Primary 20F28; Secondary 20E36

Received: 08.05.2015
Revised: 02.06.2015

Language: English

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