**Contemporary Mathematics**

Volume: 576;
2012;
316 pp;
Softcover

MSC: Primary 20; 03; 16;

Print ISBN: 978-0-8218-6923-9

Product Code: CONM/576

List Price: $108.00

AMS Member Price: $86.40

MAA Member Price: $97.20

**Electronic ISBN: 978-0-8218-9098-1
Product Code: CONM/576.E**

List Price: $108.00

AMS Member Price: $86.40

MAA Member Price: $97.20

# Groups and Model Theory

Share this page *Edited by *
*Lutz Strüngmann; Manfred Droste; László Fuchs; Katrin Tent*

This book contains the proceedings of the conference “Groups and Model
Theory”, held May 30–June 3, 2011, in Ruhr, Germany, in honor of
Rüdiger Göbel's 70th birthday.

In the last thirty years, group theory has received new input
through the application of methods from logic to problems in
algebra. In particular, model theory has strongly influenced both
commutative and non-commutative group theory. This led to striking new
developments in group theory and has had an interesting impact back on
model theory. This interplay has been revisited by algebraists and
model theorists and is showing strong and promising roads for future
research.

This book presents important current research at the border of
model theory and group theory by renowned researchers. Articles in
this volume cover abelian groups, modules over commutative rings,
permutation groups, automorphism groups of homogeneous structures such
as graphs, relational structures, geometries, topological spaces or
groups, consequences of model theoretic properties like stability or
categoricity, subgroups of small index, the automorphism tower
problem, as well as random constructions.

#### Readership

Graduate students and research mathematicians interested in group theory and model theory.

# Table of Contents

## Groups and Model Theory

- About the conference ix10 free
- A few words about R"udiger xi12 free
- Chapter 1. xiii14 free
- Functorial properties of Hom and Ext 120 free
- Rigid abelian groups and the probabilistic method 1736
- On projection-invariant subgroups of Abelian 𝑝-groups 3150
- Looking for indecomposable right bounded complexes 4160
- Butler’s theorem revisited 5776
- The role of the Jacobson radical in isomorphism theorems 7796
- Dimension in topological structures: Topological closure and local property 89108
- On kernel modules of cotorsion pairs 95114
- Absolutely rigid fields and Shelah’s absolutely rigid trees 105124
- A note on Hopfian and co-Hopfian abelian groups 129148
- Upper cardinal bounds for absolute structures 137156
- Undefinability of local Warfield groups in 𝐿_{∞𝜔} 151170
- Abelian groups with partial decomposition bases in 𝐿_{∞𝜔}^{𝛿}, Part I 163182
- Abelian groups with partial decomposition bases in 𝐿_{∞𝜔}^{𝛿}, Part II 177196
- Automorphism towers and automorphism groups of fields without Choice 187206
- On subgroups of totally projective primary abelian groups and direct sums of cyclic groups 205224
- Generic endomorphisms of homogeneous structures 217236
- Special pairs and automorphisms of centreless groups 239258
- Pseudofinite groups with NIP theory and definability in finite simple groups 255274
- (1,2)-groups for a regulator quotient of exponent 𝑝⁴ 269288
- On the macro structure of torsion free groups 287306
- Some results on the algebraic entropy 297316
- Modules and Infinitary Logics 305324