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The elementary theory of groups : a guide through the proofs of the Tarski conjectures / by Benjamin Fine [and four others].

Contributor(s): Material type: TextTextSeries: De Gruyter expositions in mathematics ; Volume 60.Publisher: Berlin ; Boston : Walter de Gruyter GmbH & Co., KG, [2014]Description: 1 online resourceContent type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 3110342030
  • 9783110342031
  • 9783110342048
  • 3110342049
Subject(s): Genre/Form: Additional physical formats: Print version:: Elementary theory of groups.DDC classification:
  • 512/.2 23
LOC classification:
  • QA565 .E44 2014
Online resources:
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.
Holdings
Item type Current library Collection Call number Status Date due Barcode Item holds
eBook eBook e-Library EBSCO Mathematics Available
Total holds: 0

Print version record.

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.

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.

In English.

Includes bibliographical references and index.

Added to collection customer.56279.3 - Master record variable field(s) change: 072

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