Tarski’s problem about the elementary theory of free groups has a positive solution

Kharlampovich, Olga¹ ; Myasnikov, Alexei²

¹ Department of Mathematics and Statistics, McGill University, 805 Sherbrooke St. West, Montreal, QC, Canada H3A 2K6
² Department of Mathematics, City College, Convent Ave. & 138th St., New York, NY 10031

Electronic research announcements of the American Mathematical Society, Tome 04 (1998), pp. 101-108.

Résumé

We prove that the elementary theories of all nonabelian free groups coincide and that the elementary theory of a free group is decidable. These results answer two old questions that were raised by A. Tarski around 1945.

Détail

DOI : 10.1090/S1079-6762-98-00047-X

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