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Abelian Group Theory and Related Topics
 
Edited by: Rüdiger Göbel University of Essen, Essen, Germany
Paul Hill Auburn University, Auburn University, AL
Wolfgang Liebert Technical University of Munich, Munich, Germany
Abelian Group Theory and Related Topics
Softcover ISBN:  978-0-8218-5178-4
Product Code:  CONM/171
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7762-3
Product Code:  CONM/171.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-5178-4
eBook: ISBN:  978-0-8218-7762-3
Product Code:  CONM/171.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
Abelian Group Theory and Related Topics
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Abelian Group Theory and Related Topics
Edited by: Rüdiger Göbel University of Essen, Essen, Germany
Paul Hill Auburn University, Auburn University, AL
Wolfgang Liebert Technical University of Munich, Munich, Germany
Softcover ISBN:  978-0-8218-5178-4
Product Code:  CONM/171
List Price: $130.00
MAA Member Price: $117.00
AMS Member Price: $104.00
eBook ISBN:  978-0-8218-7762-3
Product Code:  CONM/171.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-0-8218-5178-4
eBook ISBN:  978-0-8218-7762-3
Product Code:  CONM/171.B
List Price: $255.00 $192.50
MAA Member Price: $229.50 $173.25
AMS Member Price: $204.00 $154.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 1711994; 432 pp
    MSC: Primary 20; 03; 16

    This volume contains the proceedings of a conference on abelian groups held in August 1993 at Oberwolfach. The conference brought together forty-seven participants from all over the world and from a range of mathematical areas. Experts from model theory, set theory, noncommutative groups, module theory, and computer science discussed problems in their fields that relate to abelian group theory. This book provides a window on the frontier of this active area of research.

    Readership

    Research mathematicians.

  • Table of Contents
     
     
    • Articles
    • C. Vinsonhaler — Richard Scott Pierce [ MR 1293128 ]
    • Ladislav Bican — On $B_2$-groups [ MR 1293129 ]
    • E. A. Blagoveshchenskaya and A. Mader — Decompositions of almost completely decomposable abelian groups [ MR 1293130 ]
    • Andreas Blass — On the divisible parts of quotient groups [ MR 1293131 ]
    • W. D. Burgess — Minimal rings, central idempotents and the Pierce sheaf [ MR 1293132 ]
    • A. L. S. Corner and B. Goldsmith — On endomorphisms and automorphisms of some pure subgroups of the Baer-Specker group [ MR 1293133 ]
    • Paul C. Eklof and Saharon Shelah — A combinatorial principle equivalent to the existence of non-free Whitehead groups [ MR 1293134 ]
    • Steve Todd Files — Endomorphisms of local Warfield groups [ MR 1293135 ]
    • Alexander A. Fomin — Finitely presented modules over the ring of universal numbers [ MR 1293136 ]
    • L. Fuchs — A survey of Butler groups of infinite rank [ MR 1293137 ]
    • L. Fuchs and K. M. Rangaswamy — Unions of chains of Butler groups [ MR 1293138 ]
    • R. G. Göbel and R. M. Shortt — Some torsion-free groups arising in measure theory [ MR 1293139 ]
    • H. Pat Goeters, William Ullery and Charles Vinsonhaler — Numerical invariants for a class of Butler groups [ MR 1293140 ]
    • K. R. Goodearl — $K_0$ of regular rings with bounded index of nilpotence [ MR 1293141 ]
    • Darren Holley and Roger Wiegand — Torsion in quotients of the multiplicative group of a number field [ MR 1293142 ]
    • Patrick Keef — On $p^\alpha $-injective abelian groups [ MR 1293143 ]
    • Franz-Viktor Kuhlmann — Abelian groups with contractions. I [ MR 1293144 ]
    • Reiff S. Lafleur — Typesets and cotypesets of finite-rank torsion-free abelian groups [ MR 1293145 ]
    • A. Mader, O. Mutzbauer and K. M. Rangaswamy — A generalization of Butler groups [ MR 1293146 ]
    • Warren May — Endomorphisms over incomplete discrete valuation domains [ MR 1293147 ]
    • Menachem Magidor and Saharon Shelah — ${\rm Bext}^2(G,T)$ can be nontrivial, even assuming GCH [ MR 1293148 ]
    • R. Mines, C. Vinsonhaler and W. J. Wickless — Representations and duality [ MR 1293149 ]
    • Otto Mutzbauer and Elias Toubassi — Extending a splitting criterion on mixed modules [ MR 1293150 ]
    • John D. O’Neill — Direct summands of $\mathbf {Z}^\kappa $ for large $\kappa $ [ MR 1293151 ]
    • Agnes T. Paras — Abelian groups as Noetherian modules over their endomorphism rings [ MR 1293152 ]
    • Fred Richman — Isomorphism of Butler groups at a prime [ MR 1293153 ]
    • Claus Michael Ringel — The braid group action on the set of exceptional sequences of a hereditary Artin algebra [ MR 1293154 ]
    • Christel Rotthaus and Sylvia Wiegand — Direct limits of two-dimensional prime spectra [ MR 1293155 ]
    • Phillip Schultz — When is an abelian $p$-group determined by the Jacobson radical of its endomorphism ring? [ MR 1293156 ]
    • Jan Trlifaj — Similarities and differences between abelian groups and modules over non-perfect rings [ MR 1293157 ]
    • W. J. Wickless — A functor from mixed groups to torsion-free groups [ MR 1293158 ]
    • Peter D. Yom — A characterization of a class of Butler groups. II [ MR 1293159 ]
  • 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
Volume: 1711994; 432 pp
MSC: Primary 20; 03; 16

This volume contains the proceedings of a conference on abelian groups held in August 1993 at Oberwolfach. The conference brought together forty-seven participants from all over the world and from a range of mathematical areas. Experts from model theory, set theory, noncommutative groups, module theory, and computer science discussed problems in their fields that relate to abelian group theory. This book provides a window on the frontier of this active area of research.

Readership

Research mathematicians.

  • Articles
  • C. Vinsonhaler — Richard Scott Pierce [ MR 1293128 ]
  • Ladislav Bican — On $B_2$-groups [ MR 1293129 ]
  • E. A. Blagoveshchenskaya and A. Mader — Decompositions of almost completely decomposable abelian groups [ MR 1293130 ]
  • Andreas Blass — On the divisible parts of quotient groups [ MR 1293131 ]
  • W. D. Burgess — Minimal rings, central idempotents and the Pierce sheaf [ MR 1293132 ]
  • A. L. S. Corner and B. Goldsmith — On endomorphisms and automorphisms of some pure subgroups of the Baer-Specker group [ MR 1293133 ]
  • Paul C. Eklof and Saharon Shelah — A combinatorial principle equivalent to the existence of non-free Whitehead groups [ MR 1293134 ]
  • Steve Todd Files — Endomorphisms of local Warfield groups [ MR 1293135 ]
  • Alexander A. Fomin — Finitely presented modules over the ring of universal numbers [ MR 1293136 ]
  • L. Fuchs — A survey of Butler groups of infinite rank [ MR 1293137 ]
  • L. Fuchs and K. M. Rangaswamy — Unions of chains of Butler groups [ MR 1293138 ]
  • R. G. Göbel and R. M. Shortt — Some torsion-free groups arising in measure theory [ MR 1293139 ]
  • H. Pat Goeters, William Ullery and Charles Vinsonhaler — Numerical invariants for a class of Butler groups [ MR 1293140 ]
  • K. R. Goodearl — $K_0$ of regular rings with bounded index of nilpotence [ MR 1293141 ]
  • Darren Holley and Roger Wiegand — Torsion in quotients of the multiplicative group of a number field [ MR 1293142 ]
  • Patrick Keef — On $p^\alpha $-injective abelian groups [ MR 1293143 ]
  • Franz-Viktor Kuhlmann — Abelian groups with contractions. I [ MR 1293144 ]
  • Reiff S. Lafleur — Typesets and cotypesets of finite-rank torsion-free abelian groups [ MR 1293145 ]
  • A. Mader, O. Mutzbauer and K. M. Rangaswamy — A generalization of Butler groups [ MR 1293146 ]
  • Warren May — Endomorphisms over incomplete discrete valuation domains [ MR 1293147 ]
  • Menachem Magidor and Saharon Shelah — ${\rm Bext}^2(G,T)$ can be nontrivial, even assuming GCH [ MR 1293148 ]
  • R. Mines, C. Vinsonhaler and W. J. Wickless — Representations and duality [ MR 1293149 ]
  • Otto Mutzbauer and Elias Toubassi — Extending a splitting criterion on mixed modules [ MR 1293150 ]
  • John D. O’Neill — Direct summands of $\mathbf {Z}^\kappa $ for large $\kappa $ [ MR 1293151 ]
  • Agnes T. Paras — Abelian groups as Noetherian modules over their endomorphism rings [ MR 1293152 ]
  • Fred Richman — Isomorphism of Butler groups at a prime [ MR 1293153 ]
  • Claus Michael Ringel — The braid group action on the set of exceptional sequences of a hereditary Artin algebra [ MR 1293154 ]
  • Christel Rotthaus and Sylvia Wiegand — Direct limits of two-dimensional prime spectra [ MR 1293155 ]
  • Phillip Schultz — When is an abelian $p$-group determined by the Jacobson radical of its endomorphism ring? [ MR 1293156 ]
  • Jan Trlifaj — Similarities and differences between abelian groups and modules over non-perfect rings [ MR 1293157 ]
  • W. J. Wickless — A functor from mixed groups to torsion-free groups [ MR 1293158 ]
  • Peter D. Yom — A characterization of a class of Butler groups. II [ MR 1293159 ]
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
Please select which format for which you are requesting permissions.