TY - BOOK AU - Fine,Benjamin TI - The elementary theory of groups: a guide through the proofs of the Tarski conjectures T2 - De Gruyter Expositions in Mathematics, SN - 3110342030 AV - QA565 .E44 2014 U1 - 512/.2 23 PY - 2014///] CY - Berlin, Boston PB - Walter de Gruyter GmbH & Co., KG KW - Tarski, Alfred. KW - Tarski, Alfred, KW - Geometry, Algebraic KW - Combinatorial analysis KW - Proof theory KW - fast KW - MATHEMATICS / Algebra / Intermediate KW - bisacsh KW - Electronic books N1 - Includes bibliographical references and index; Frontmatter --; Preface --; Contents --; 1 Group theory and logic: introduction --; 2 Combinatorial group theory --; 3 Geometric group theory --; 4 First order languages and model theory --; 5 The Tarski problems --; 6 Fully residually free groups I --; 7 Fully residually free groups II --; 8 Algebraic geometry over groups --; 9 The solution of the Tarski problems --; 10 On elementary free groups and extensions --; 11 Discriminating and squarelike groups --; References --; Index N2 - After being an open question for sixty years the Tarski conjecture was answered in the affirmative by Olga Kharlampovich and Alexei Myasnikov and independently by Zlil Sela. This book is an examination of the material on the general elementary theory of groups that is necessary to begin to understand the proofs UR - https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=887060 ER -