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Title The elementary theory of groups : a guide through the proofs of the Tarski conjectures / by Benjamin Fine [and four others]
Published Berlin ; Boston : Walter de Gruyter GmbH & Co., KG, [2014]
©2014

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Description 1 online resource
Series De Gruyter Expositions in Mathematics, 0938-6572 ; Volume 60
De Gruyter expositions in mathematics ; Volume 60.
Contents 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
Summary 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
Bibliography Includes bibliographical references and index
Notes In English
Print version record
Subject Tarski, Alfred
SUBJECT Tarski, Alfred, 1901-1983 fast
Subject Geometry, Algebraic.
Combinatorial analysis.
Proof theory.
MATHEMATICS -- Algebra -- Intermediate.
Combinatorial analysis
Geometry, Algebraic
Proof theory
Form Electronic book
Author Fine, Benjamin, 1948-
ISBN 3110342030
9783110342031
9783110342048
3110342049
3110341999
9783110341997
3110382571
9783110382570