The 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. 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 o…
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Produktdetails
Weitere Autoren: Gaglione, Anthony / Myasnikov, Alexei / Rosenberger, Gerhard / Spellman, Dennis
- ISBN: 978-3-11-034199-7
- EAN: 9783110341997
- Produktnummer: 16452794
- Verlag: Gruyter, Walter de GmbH
- Sprache: Englisch
- Erscheinungsjahr: 2014
- Seitenangabe: 307 S.
- Masse: H24.6 cm x B17.5 cm x D2.3 cm 730 g
- Reihenbandnummer: 60
- Gewicht: 730
Über den Autor
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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