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Softcover ISBN:  9780821869239 
Product Code:  CONM/576 
List Price:  $130.00 
MAA Member Price:  $117.00 
AMS Member Price:  $104.00 
eBook ISBN:  9780821890981 
Product Code:  CONM/576.E 
List Price:  $125.00 
MAA Member Price:  $112.50 
AMS Member Price:  $100.00 
Softcover ISBN:  9780821869239 
eBook ISBN:  9780821890981 
Product Code:  CONM/576.B 
List Price:  $255.00 $192.50 
MAA Member Price:  $229.50 $173.25 
AMS Member Price:  $204.00 $154.00 

Book DetailsContemporary MathematicsVolume: 576; 2012; 316 ppMSC: Primary 20; 03; 16
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 noncommutative 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.
ReadershipGraduate students and research mathematicians interested in group theory and model theory.

Table of Contents

Articles

Ulrich Albrecht, Simion Breaz and Phill Schultz — Functorial properties of Hom and Ext

Gábor Braun and Sebastian Pokutta — Rigid abelian groups and the probabilistic method

Peter Danchev and Brendan Goldsmith — On projectioninvariant subgroups of Abelian $p$groups

Gabriella D’Este — Looking for indecomposable right bounded complexes

Clorinda De Vivo and Claudia Metelli — Butler’s theorem revisited

Mary Flagg — The role of the Jacobson radical in isomorphism theorems

Antongiulio Fornasiero and Immanuel Halupczok — Dimension in topological structures: Topological closure and local property

László Fuchs — On kernel modules of cotorsion pairs

Rüdiger Göbel and Sebastian Pokutta — Absolutely rigid fields and Shelah’s absolutely rigid trees

B. Goldsmith and K. Gong — A note on Hopfian and coHopfian abelian groups

Daniel Herden — Upper cardinal bounds for absolute structures

Carol Jacoby — Undefinability of local Warfield groups in $L_{\infty \omega }$

Carol Jacoby, Katrin Leistner, Peter Loth and Lutz Strüngmann — Abelian groups with partial decomposition bases in $L_{\infty \omega }^\delta $, Part I

Carol Jacoby and Peter Loth — Abelian groups with partial decomposition bases in $L_{\infty \omega }^\delta $, Part II

Itay Kaplan and Saharon Shelah — Automorphism towers and automorphism groups of fields without Choice

Patrick W. Keef — On subgroups of totally projective primary abelian groups and direct sums of cyclic groups

Deborah C. Lockett and John K. Truss — Generic endomorphisms of homogeneous structures

Philipp Lücke — Special pairs and automorphisms of centreless groups

Dugald Macpherson and Katrin Tent — Pseudofinite groups with NIP theory and definability in finite simple groups

Otto Mutzbauer and Ebru Solak — (1,2)groups for a regulator quotient of exponent $p^4$

J. D. Reid — On the macro structure of torsion free groups

Luigi Salce — Some results on the algebraic entropy

Saharon Shelah — Modules and Infinitary Logics


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

Articles

Ulrich Albrecht, Simion Breaz and Phill Schultz — Functorial properties of Hom and Ext

Gábor Braun and Sebastian Pokutta — Rigid abelian groups and the probabilistic method

Peter Danchev and Brendan Goldsmith — On projectioninvariant subgroups of Abelian $p$groups

Gabriella D’Este — Looking for indecomposable right bounded complexes

Clorinda De Vivo and Claudia Metelli — Butler’s theorem revisited

Mary Flagg — The role of the Jacobson radical in isomorphism theorems

Antongiulio Fornasiero and Immanuel Halupczok — Dimension in topological structures: Topological closure and local property

László Fuchs — On kernel modules of cotorsion pairs

Rüdiger Göbel and Sebastian Pokutta — Absolutely rigid fields and Shelah’s absolutely rigid trees

B. Goldsmith and K. Gong — A note on Hopfian and coHopfian abelian groups

Daniel Herden — Upper cardinal bounds for absolute structures

Carol Jacoby — Undefinability of local Warfield groups in $L_{\infty \omega }$

Carol Jacoby, Katrin Leistner, Peter Loth and Lutz Strüngmann — Abelian groups with partial decomposition bases in $L_{\infty \omega }^\delta $, Part I

Carol Jacoby and Peter Loth — Abelian groups with partial decomposition bases in $L_{\infty \omega }^\delta $, Part II

Itay Kaplan and Saharon Shelah — Automorphism towers and automorphism groups of fields without Choice

Patrick W. Keef — On subgroups of totally projective primary abelian groups and direct sums of cyclic groups

Deborah C. Lockett and John K. Truss — Generic endomorphisms of homogeneous structures

Philipp Lücke — Special pairs and automorphisms of centreless groups

Dugald Macpherson and Katrin Tent — Pseudofinite groups with NIP theory and definability in finite simple groups

Otto Mutzbauer and Ebru Solak — (1,2)groups for a regulator quotient of exponent $p^4$

J. D. Reid — On the macro structure of torsion free groups

Luigi Salce — Some results on the algebraic entropy

Saharon Shelah — Modules and Infinitary Logics