Illinois Journal of Mathematics

The Illinois Journal of Mathematics was founded in 1957 by R. Baer, J.L. Doob, A. Taub, G. Whitehead, and O. Zariski. The inaugural volume featured papers of many of the world's leading figures in the key areas of mathematics at the time. Since its inception, the IJM has published many influential papers, most notably the proof of the Four Color Conjecture by K. Appel and W. Haken. Distinguished researchers such as J. Bourgain, A. Calderon, S.S. Chern, H. Kesten, and K. Uhlenbeck have served as Editors of the IJM.

The last 5 years' volumes of the electronic version of the IJM is restricted to subscribers. For further information, please see the IJM Access Notice or contact the IJM office at ijm@math.uiuc.edu.


Volume 32, Issue 3

Publication Date: Fall 1988

Frontmatter

Irving Reiner 1924-1986

Gerald J. Janusz; 315-328

Torsion free cancellation over orders

Richard G. Swan; 329-360

Minimal free resolutions of lattices over finite groups

K. W. Gruenberg and P. A. Linnell; 361-374

A Mayer-Vietoris sequence for Picard groups, with applications to integral group rings of dihedral and quaternion groups

William H. Gustafson and Klaus W. Roggenkamp; 375-406

Module defect and factorisability

A. Fröhlich; 407-421

Class number restrictions for certain $l$-extensions of imaginary quadratic fields

Stephen V. Ullom and Stephen B. Watt; 422-427

Mordell-Weil groups and the Galois module structure of rings of integers

M. J. Taylor; 428-452

The class group of an absolutely Abelian $l$-extension

Gary Cornell and Michael Rosen; 453-461

Swan modules and elliptic functions

Anupam Srivastav; 462-483

An inequality in integral representation theory

G. J. Janusz; 484-488

Moody's induction theorem

Gerald Cliff and Alfred Weiss; 489-500

On permutation representations

Alex Heller; 501-509

A theorem on modular endomorphism rings

J. A. Green; 510-519

On the global dimension of algebras over regular local rings

J. A. de la Peña and A. Raggi-Cárdenas; 520-533

Trace quotient modules

Maurice Auslander and E. L. Green; 534-556

Wild categories of periodic modules

Jon F. Carlson and Alfredo Jones; 557-561

Minimal asymptotic bases with prescribed densities

Paul Erdös and Melvyn B. Nathanson; 562-574

On the number of solutions of $x^{p^{k}}=a$ in a $p$-group

T. Y. Lam; 575-583

An asymptotic result for subgroups of $SL(2,Z)$ of level 2

Morris Newman; 584-591

Backmatter


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