Journal
JOURNAL OF ALGEBRA
Volume 302, Issue 2, Pages 451-552Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jalgebra.2006.03.033
Keywords
free group; elementary theory
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We prove that any two non-abelian free groups have the same elementary theory and that this theory is decidable. These results solve two questions that were raised by Tarski in 1945. (c) 2006 Elsevier Inc. All rights reserved.
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