**Contemporary Mathematics**

Volume: 171;
1994;
432 pp;
Softcover

MSC: Primary 20; 03; 16;

Print ISBN: 978-0-8218-5178-4

Product Code: CONM/171

List Price: $83.00

Individual Member Price: $66.40

**Electronic ISBN: 978-0-8218-7762-3
Product Code: CONM/171.E**

List Price: $83.00

Individual Member Price: $66.40

# Abelian Group Theory and Related Topics

Share this page *Edited by *
*Rüdiger Göbel; Paul Hill; Wolfgang Liebert*

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

## Abelian Group Theory and Related Topics

- Contents vii8 free
- Preface xi12 free
- Conference Participants xiii14 free
- Richard Scott Pierce 116 free
- On B2-Groups 1328
- Decompositions of Almost Completely Decomposable Abelian Groups 2136
- On the Divisible Parts of Quotient Groups 3752
- Minimal Rings, Central Idempotents and the Pierce Sheaf 5166
- On Endomorphisms and Automorphisms of Some Pure Subgroups of the Baer-Specker Group 6984
- A Combinatorial Principle Equivalent to the Existence of Non-Free Whitehead Groups 7994
- Endomorphisms of Local Warfield Groups 99114
- Finitely Presented Modules Over the Ring of Universal Numbers 109124
- A Survey of Butler Groups of Infinite Rank 121136
- Unions of Chains of Butler Groups 141156
- Some Torsion-Free Groups Arising in Measure Theory 147162
- Numerical Invariants for a Class of Butler Groups 159174
- K0 of Regular Rings with Bounded Index of Nilpotence 173188
- Torsion in Quotients of the Multiplicative Group of a Number Field 201216
- On pα-Injective Abelian Groups 205220
- Abelian Groups with Contractions I 217232
- Typesets and Cotypesets of Finite-Rank Torsion-Free Abelian Groups 243258
- A Generalization of Butler Groups 257272
- Endomorphisms Over Incomplete Discrete Valuation Rings 277292
- Bext2(G,T) Can Be Nontrivial Even Assuming GCH 287302
- Representations and Duality 295310
- Extending a Splitting Criterion on Mixed Modules 305320
- Direct Summands of Zk for Large K 313328
- Abelian Groups as Noetherian Modules Over Their Endomorphism Rings 325340
- Isomorphism of Butler Groups at a Prime 333348
- The Braid Group Action on the Set of Exceptional Sequences of a Hereditary Artin Algebra 339354
- Direct Limits of Two-Dimensional Prime Spectra 353368
- When is an Abelian p-Group Determined by the Jacobson Radical of Its Endomorphism Ring? 385400
- Similarities and Differences Between Abelian Groups and Modules Over Non-Perfect Rings 397412
- A Functor from Mixed Groups to Torsion-Free Groups 407422
- A Characterization of a Class of Butler Groups II 419434