Book contents
- Frontmatter
- Contents
- Preface
- Introduction
- Finite Covers
- Definable subgroups of algebraic groups over pseudo-finite fields
- Groups in pseudofinite fields
- The group of automorphisms of the field of complex numbers leaving fixed the algebraic numbers is simple
- The automorphism group of the field of complex numbers is complete
- The algebra of an age
- Elimination of inverses in groups
- Model-theoretic properties of polycyclic-by-finite groups
- Non-standard Free Groups
- Finitely generated subgroups of the free ℤ[t]–group on two generators
- Rings of definable scalars and biendomorphism rings
- Recent results on simple first-order theories
Preface
Published online by Cambridge University Press: 18 May 2010
- Frontmatter
- Contents
- Preface
- Introduction
- Finite Covers
- Definable subgroups of algebraic groups over pseudo-finite fields
- Groups in pseudofinite fields
- The group of automorphisms of the field of complex numbers leaving fixed the algebraic numbers is simple
- The automorphism group of the field of complex numbers is complete
- The algebra of an age
- Elimination of inverses in groups
- Model-theoretic properties of polycyclic-by-finite groups
- Non-standard Free Groups
- Finitely generated subgroups of the free ℤ[t]–group on two generators
- Rings of definable scalars and biendomorphism rings
- Recent results on simple first-order theories
Summary
The articles in this volume represent the invited lectures at the RESMOD Summer School on Model Theory of Groups and Automorphism Groups held in Blaubeuren, Germany, from 31 July to 5 August 1995. This was an EC-funded meeting directed at graduate students and researchers in Model Theory and Algebra and consisted mainly of invited lectures surveying various recent interactions between model theory and and other branches of mathematics, notably group theory.
RESMOD is the acronym for the European Human Capital and Mobility Network on Model Theory and Applications coordinated by the Équipe de Logique Mathématique at Université Paris 7. The programme committee for the meeting consisted of Wilfrid Hodges, Daniel Lascar and Dugald Macpherson. The meeting took place at the Heinrich Fabri Institut of the University of Tübingen, and the local organisers were Ulrich Feigner and Frieder Haug.
- Type
- Chapter
- Information
- Model Theory of Groups and Automorphism Groups , pp. vii - viiiPublisher: Cambridge University PressPrint publication year: 1997