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Groups and Model Theory
 
Edited by: Lutz Strüngmann :  University of Duisburg-Essen, Essen, Germany
Manfred Droste :  University of Leipzig, Leipzig, Germany
László Fuchs :  Tulane University, New Orleans, LA
Katrin Tent :  University of Münster, Münster, Germany
Groups and Model Theory
eBook ISBN:  978-0-8218-9098-1
Product Code:  CONM/576.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Add to cart
Groups and Model Theory
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Groups and Model Theory
Edited by: Lutz Strüngmann :  University of Duisburg-Essen, Essen, Germany
Manfred Droste :  University of Leipzig, Leipzig, Germany
László Fuchs :  Tulane University, New Orleans, LA
Katrin Tent :  University of Münster, Münster, Germany
eBook ISBN:  978-0-8218-9098-1
Product Code:  CONM/576.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Add to cart
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 576; 2012; 316 pp
    MSC: 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 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
     
     
    • 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 projection-invariant 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 co-Hopfian 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
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Contemporary Mathematics
Volume: 576; 2012; 316 pp
MSC: 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 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.
  • 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 projection-invariant 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 co-Hopfian 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
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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