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Author: Olga Kharlampovich
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110719711
Category : Mathematics
Languages : en
Pages : 244
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Book Description
This monograph provides an overview of developments in group theory motivated by model theory by key international researchers in the field. Topics covered include: stable groups and generalizations, model theory of nonabelian free groups and of rigid solvable groups, pseudofinite groups, approximate groups, topological dynamics, groups interpreting the arithmetic. The book is intended for mathematicians and graduate students in group theory and model theory. The book follows the course of the GAGTA (Geometric and Asymptotic Group Theory with Applications) conference series. The first book, "Complexity and Randomness in Group Theory. GAGTA book 1," can be found here: http://www.degruyter.com/books/978-3-11-066491-1 .
Author: Olga Kharlampovich
Publisher: Walter de Gruyter GmbH & Co KG
ISBN: 3110719711
Category : Mathematics
Languages : en
Pages : 244
Get Book Here
Book Description
This monograph provides an overview of developments in group theory motivated by model theory by key international researchers in the field. Topics covered include: stable groups and generalizations, model theory of nonabelian free groups and of rigid solvable groups, pseudofinite groups, approximate groups, topological dynamics, groups interpreting the arithmetic. The book is intended for mathematicians and graduate students in group theory and model theory. The book follows the course of the GAGTA (Geometric and Asymptotic Group Theory with Applications) conference series. The first book, "Complexity and Randomness in Group Theory. GAGTA book 1," can be found here: http://www.degruyter.com/books/978-3-11-066491-1 .
Author: David M. Evans
Publisher: Cambridge University Press
ISBN: 052158955X
Category : Mathematics
Languages : en
Pages : 232
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Book Description
Surveys recent interactions between model theory and other branches of mathematics, notably group theory.
Author: Emil Artin
Publisher:
ISBN: 9780268013714
Category : Galois theory
Languages : en
Pages : 209
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Book Description
Author: Katrin Tent
Publisher: Cambridge University Press
ISBN: 9780521010634
Category : Mathematics
Languages : en
Pages : 314
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Book Description
Introduction to buildings and their geometries with emphasis on model theoretic constructions, covering recent developments.
Author: Charles Loewner
Publisher: Courier Corporation
ISBN: 0486462927
Category : Mathematics
Languages : en
Pages : 128
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Book Description
Based on lectures by a renowned educator, this book focuses on continuous groups, particularly in terms of applications in geometry and analysis. The author's unique perspectives are illustrated by numerous inventive geometric examples, many of which were inspired by footnotes among the work of Sophus Lie. 1971 edition.
Author: David Marker
Publisher: Springer Science & Business Media
ISBN: 0387227342
Category : Mathematics
Languages : en
Pages : 342
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Book Description
Assumes only a familiarity with algebra at the beginning graduate level; Stresses applications to algebra; Illustrates several of the ways Model Theory can be a useful tool in analyzing classical mathematical structures
Author: Martin W. Liebeck
Publisher: Cambridge University Press
ISBN: 0521406854
Category : Mathematics
Languages : en
Pages : 505
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Book Description
This volume contains a collection of papers on the subject of the classification of finite simple groups.
Author: M Droste
Publisher: CRC Press
ISBN: 9789056991012
Category : Mathematics
Languages : en
Pages : 516
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Book Description
Contains 25 surveys in algebra and model theory, all written by leading experts in the field. The surveys are based around talks given at conferences held in Essen, 1994, and Dresden, 1995. Each contribution is written in such a way as to highlight the ideas that were discussed at the conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community. The topics include field and ring theory as well as groups, ordered algebraic structure and their relationship to model theory. Several papers deal with infinite permutation groups, abelian groups, modules and their relatives and representations. Model theoretic aspects include quantifier elimination in skew fields, Hilbert's 17th problem, (aleph-0)-categorical structures and Boolean algebras. Moreover symmetry questions and automorphism groups of orders are covered. This work contains 25 surveys in algebra and model theory, each is written in such a way as to highlight the ideas that were discussed at Conferences, and also to stimulate open research problems in a form accessible to the whole mathematical community.
Author: Anand Pillay
Publisher:
ISBN: 9780268013714
Category : Group theory
Languages : en
Pages : 209
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Book Description
Author: Manfred Droste
Publisher: Springer
ISBN: 331951718X
Category : Mathematics
Languages : en
Pages : 493
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Book Description
This volume focuses on group theory and model theory with a particular emphasis on the interplay of the two areas. The survey papers provide an overview of the developments across group, module, and model theory while the research papers present the most recent study in those same areas. With introductory sections that make the topics easily accessible to students, the papers in this volume will appeal to beginning graduate students and experienced researchers alike. As a whole, this book offers a cross-section view of the areas in group, module, and model theory, covering topics such as DP-minimal groups, Abelian groups, countable 1-transitive trees, and module approximations. The papers in this book are the proceedings of the conference “New Pathways between Group Theory and Model Theory,” which took place February 1-4, 2016, in Mülheim an der Ruhr, Germany, in honor of the editors’ colleague Rüdiger Göbel. This publication is dedicated to Professor Göbel, who passed away in 2014. He was one of the leading experts in Abelian group theory.
