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Abelian Group Theory and Related Topics
Edited by: Rüdiger Göbel, Paul Hill, and Wolfgang Liebert
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Contemporary Mathematics
1994; 432 pp; softcover
Volume: 171
ISBN-10: 0-8218-5178-0
ISBN-13: 978-0-8218-5178-4
List Price: US$83 Member Price: US$66.40
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 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.

Research mathematicians.

• 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 Baer-Specker group
• P. C. Eklof and S. Shelah -- A combinatorial principle equivalent to the existence of non-free 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 torsion-free 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 finite-rank torsion-free 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 two-dimensional 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 non-perfect rings
• W. J. Wickless -- A functor from mixed groups to torsion-free groups
• P. D. Yom -- A characterization of a class of Butler groups II