The Elementary Theory of Groups von Benjamin Fine | A Guide through the Proofs of the Tarski Conjectures | ISBN 9783110341997

The Elementary Theory of Groups

A Guide through the Proofs of the Tarski Conjectures

von Benjamin Fine, Anthony Gaglione, Alexei Myasnikov, Gerhard Rosenberger und Dennis Spellman
Mitwirkende
Autor / AutorinBenjamin Fine
Autor / AutorinAnthony Gaglione
Autor / AutorinAlexei Myasnikov
Autor / AutorinGerhard Rosenberger
Autor / AutorinDennis Spellman
Buchcover The Elementary Theory of Groups | Benjamin Fine | EAN 9783110341997 | ISBN 3-11-034199-9 | ISBN 978-3-11-034199-7

The Elementary Theory of Groups

A Guide through the Proofs of the Tarski Conjectures

von Benjamin Fine, Anthony Gaglione, Alexei Myasnikov, Gerhard Rosenberger und Dennis Spellman
Mitwirkende
Autor / AutorinBenjamin Fine
Autor / AutorinAnthony Gaglione
Autor / AutorinAlexei Myasnikov
Autor / AutorinGerhard Rosenberger
Autor / AutorinDennis Spellman
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.

ISBN-Daten

Einband - fest (Hardcover)
 
Hardcover
321 Seiten
Auflage
1
erschienen am
29.09.2014
Sprache
Englisch
ISBN-10
3-11-034199-9
ISBN-13
978-3-11-034199-7
Maße
24 x 17 cm, 676 gr
Lieferstatus
verfügbar
Preis (UVP)
179,95 €*
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ca. 15 km um Fairfield
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