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The Elementary Theory of Groups: A Guide Through the Proofs of the Tarski Conjectures: 60 - Rilegato
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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. Both proofs involve long and complicated applications of algebraic geometry over free groups as well as an extension of methods to solve equations in free groups originally developed by Razborov. This book is an examination of the material on the general elementary theory of groups that is necessary to begin to understand the proofs. This material includes a complete exposition of the theory of fully residually free groups or limit groups as well a complete description of the algebraic geometry of free groups. Also included are introductory material on combinatorial and geometric group theory and first-order logic. There is then a short outline of the proof of the Tarski conjectures in the manner of Kharlampovich and Myasnikov.
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Informazioni sull?autore
B. Fine, Fairfield U.; A. Gaglione, US Naval Academy; A. Myasnikov, McGill U.; G. Rosenberger, U. of Hamburg; D. Spellman, Temple U.
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- EditoreDe Gruyter
- Data di pubblicazione2014
- ISBN 10 3110341999
- ISBN 13 9783110341997
- RilegaturaCopertina rigida
- LinguaInglese
- Numero edizione1
- Numero di pagine307
- Contatto del produttorenon disponibile
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The Elementary Theory of Groups : A Guide through the Proofs of the Tarski Conjectures
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Buch. Condizione: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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. Both proofs involve long and complicated applications of algebraic geometry over free groups as well as an extension of methods to solve equations in free groups originally developed by Razborov. This book is an examination of the material on the general elementary theory of groups that is necessary to begin to understand the proofs. This material includes a complete exposition of the theory of fully residually free groups or limit groups as well a complete description of the algebraic geometry of free groups. Also included are introductory material on combinatorial and geometric group theory and first-order logic. There is then a short outline of the proof of the Tarski conjectures in the manner of Kharlampovich and Myasnikov. Codice articolo 9783110341997
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The Elementary Theory of Groups
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De Gruyter, De Gruyter Sep 2014, 2014
ISBN 10: 3110341999
ISBN 13: 9783110341997
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Buch. Condizione: Neu. This item is printed on demand - Print on Demand Titel. Neuware -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. Both proofs involve long and complicated applications of algebraic geometry over free groups as well as an extension of methods to solve equations in free groups originally developed by Razborov. This book is an examination of the material on the general elementary theory of groups that is necessary to begin to understand the proofs. This material includes a complete exposition of the theory of fully residually free groups or limit groups as well a complete description of the algebraic geometry of free groups. Also included are introductory material on combinatorial and geometric group theory and first-order logic. There is then a short outline of the proof of the Tarski conjectures in the manner of Kharlampovich and Myasnikov.Walter de Gruyter GmbH, Genthiner Strasse 13, 10785 Berlin 324 pp. Englisch. Codice articolo 9783110341997
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The Elementary Theory of Groups
Editore:
De Gruyter, De Gruyter Sep 2014, 2014
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ISBN 13: 9783110341997
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Buch. Condizione: Neu. This item is printed on demand - it takes 3-4 days longer - Neuware -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. Both proofs involve long and complicated applications of algebraic geometry over free groups as well as an extension of methods to solve equations in free groups originally developed by Razborov. This book is an examination of the material on the general elementary theory of groups that is necessary to begin to understand the proofs. This material includes a complete exposition of the theory of fully residually free groups or limit groups as well a complete description of the algebraic geometry of free groups. Also included are introductory material on combinatorial and geometric group theory and first-order logic. There is then a short outline of the proof of the Tarski conjectures in the manner of Kharlampovich and Myasnikov. 324 pp. Englisch. Codice articolo 9783110341997
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