The elementary theory of groups : a guide through the proofs of the Tarski conjectures /

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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. 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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Détails bibliographiques
Cote:Libro Electrónico
Autres auteurs: Fine, Benjamin, 1948-
Format: Électronique eBook
Langue:Inglés
Publié: Berlin ; Boston : Walter de Gruyter GmbH & Co., KG, [2014]
Collection:De Gruyter expositions in mathematics ; Volume 60.
Sujets:
Tarski, Alfred.
Tarski, Alfred, > 1901-1983
Geometry, Algebraic.
Combinatorial analysis.
Proof theory.
Géométrie algébrique.
Analyse combinatoire.
Théorie de la preuve.
MATHEMATICS > Algebra > Intermediate.
Combinatorial analysis
Geometry, Algebraic
Proof theory
Accès en ligne:Texto completo
Table des matières:
  • 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.

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