Screen LibraryThe elementary theory of groups : a guide through the proofs of the tarski conjectures /
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 understan...
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| Main Authors: | |
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| Corporate Authors: | |
| Group Author: | ; ; ; |
| Published: |
De Gruyter,
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| Publisher Address: | Berlin/Boston : |
| Publication Dates: | [2014] |
| Literature type: | eBook |
| Language: | English |
| Series: |
De gruyter expositions in mathematics;
60 |
| Subjects: | |
| Online Access: |
http://dx.doi.org/10.1515/9783110342031 http://www.degruyter.com/doc/cover/9783110342031.jpg |
| 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. |
| Carrier Form: |
1 online resource (xiv, 307 pages) : illustrations. Also available in print edition. |
| ISBN: | 9783110342031 |
| Index Number: | QA565 |
| CLC: | O187 |
| 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. |