Contemporary Mathematics 1994; 432 pp; softcover Volume: 171 ISBN10: 0821851780 ISBN13: 9780821851784 List Price: US$79 Member Price: US$63.20 Order Code: CONM/171
 This volume contains the proceedings of a conference on abelian groups held in August 1993 at Oberwolfach. The conference brought together fortyseven 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  C. Vinsonhaler  Richard Scott Pierce
 L. Bican  On \(B_2\)groups
 E. A. Blagoveshchenskaya and A. Mader  Decompositions of almost completely decomposable Abelian groups
 A. Blass  On the divisible parts of quotient groups
 W. D. Burgess  Minimal rings, central idempotents and the Pierce sheaf
 A. L. S. Corner and B. Goldsmith  On endomorphisms and automorphisms of some pure subgroups of the BaerSpecker group
 P. C. Eklof and S. Shelah  A combinatorial principle equivalent to the existence of nonfree Whitehead groups
 S. T. Files  Endomorphisms of local Warfield groups
 A. A. Fomin  Finitely presented modules over the ring of universal numbers
 L. Fuchs  A survey of Butler groups of infinite rank
 L. Fuchs and K. M. Rangaswamy  Unions of chains of Butler groups
 R. G. Göbel and R. M. Shortt  Some torsionfree groups arising in measure theory
 H. P. Goeters, W. Ullery, and C. Vinsonhaler  Numerical invariants for a class of Butler groups
 K. R. Goodearl  \(K_0\) of regular rings with bounded index of nilpotence
 D. Holley and R. Wiegand  Torsion in quotients of the multiplicative group of a number field
 P. Keef  On \(p^\alpha\)injective Abelian groups
 F.V. Kuhlmann  Abelian groups with contractions I
 R. S. Lafleur  Typesets and cotypesets of finiterank torsionfree Abelian groups
 A. Mader, O. Mutzbauer, and K. M. Rangaswamy  A generalization of Butler groups
 W. May  Endomorphisms over incomplete discrete valuation rings
 M. Magidor and S. Shelah  \(Bext^2(G,T)\) can be nontrivial even assuming GCH
 R. Mines, C. Vinsonhaler, and W. J. Wickless  Representations and duality
 O. Mutzbauer and E. Toubassi  Extending a splitting criterion on mixed modules
 J. D. O'Neill  Direct summands of \(Z^\kappa\) for large \(\kappa\)
 A. T. Paras  Abelian groups as noetherian modules over their endomorphism rings
 F. Richman  Isomorphism of Butler groups at a prime
 C. M. Ringel  The braid group action on the set of exceptional sequences of a hereditary Artin algebra
 C. Rotthaus and S. Wiegand  Direct limits of twodimensional prime spectra
 P. Schultz  When is an Abelian \(p\)group determined by the Jacobson radical of its endomorphism ring?
 J. Trlifaj  Similarities and differences between Abelian groups and modules over nonperfect rings
 W. J. Wickless  A functor from mixed groups to torsionfree groups
 P. D. Yom  A characterization of a class of Butler groups II
