# Representation Theory, Group Rings, and Coding Theory

### About this Title

**M. Isaacs**, **A. Lichtman**, **D. Passman**, **S. Sehgal**, **N. J. A. Sloane** and **H. Zassenhaus**, Editors

Publication: Contemporary Mathematics

Publication Year
1989: Volume 93

ISBNs: 978-0-8218-5098-5 (print); 978-0-8218-7681-7 (online)

DOI: http://dx.doi.org/10.1090/conm/093

MathSciNet review: 1003335

### Table of Contents

**Front/Back Matter**

**Articles**

- B. N. Gartshtein and I. I. Grushko – The S. D. Berman work on coding theory and on theory of threshold functions [MR 1003337]
- G. Karpilovsky – Berman’s contributions to group representations over fields [MR 1003338]
- A. I. Lichtman – S. D. Berman’s contribution to the theory of integral representations of finite groups [MR 1003339]
- Warren May – The work of S. D. Berman on infinite abelian group rings [MR 1003340]
- Robert Sandling – Berman’s work on units in group rings [MR 1003341]
- Ja. G. Berkovic – On $p$-subgroups of finite symmetric and alternating groups [MR 1003342]
- S. D. Berman and I. I. Grushko – Parameters of abelian codes in the group algebra $KG$ of $G=(a)\times (b),\; a^p=b^p=1,\; p$ prime, over a finite field $K$ with primitive $p$th root of unity and related MDS-codes [MR 1003343]
- S. D. Berman and N. I. Vishnyakova – Locally cyclic modules over a valuation ring [MR 1003344]
- K. Buzási – On the modules over a real crossed group algebra [MR 1003345]
- K. Buzási and L. G. Kovács – The minimal number of generators of wreath products of nilpotent groups [MR 1003346]
- Gerald Cliff and Alfred Weiss – Torsion free space groups and permutation lattices for finite groups [MR 1003347]
- Everett C. Dade – Clifford theory and induction from subgroups [MR 1003348]
- Vesselin Drensky – The isomorphism problem for modular group algebras of groups with large centres [MR 1003349]
- Daniel R. Farkas and Peter A. Linnell – Zero divisors in group rings: something old, something new [MR 1003350]
- A. W. Hales and I. B. S. Passi – The augmentation quotients of finite abelian $p$-groups [MR 1003351]
- B. Hartley – Free groups in normal subgroups of unit groups and arithmetic groups [MR 1003352]
- Klaus Hoechsmann – On the Bass-Milnor index of abelian $p$-groups [MR 1003353]
- G. L. Katsman and M. A. Tsfasman – A remark on algebraic geometric codes [MR 1003354]
- E. Sh. Kerer – On decomposition of a binomial in a skew polynomial ring [MR 1003355]
- L. Krop – The associated graded algebra of a group algebra [MR 1003356]
- A. I. Lichtman – On nilpotent and soluble subgroups of linear groups over fields of fractions of enveloping algebras and of group rings. I [MR 1003357]
- Martin Lorenz and D. S. Passman – The structure of $G_0$ for certain polycyclic group algebras and related algebras [MR 1003358]
- Warren May – The direct factor problem for modular abelian group algebras [MR 1003359]
- Todor Zh. Mollov – On the isomorphism of the semi-simple group algebras of the primary abelian groups [MR 1003360]
- S. I. Ostrovskaya – On the canonical irreducible representations of countable locally finite groups and infinite Frobenius group [MR 1003361]
- Jürgen Ritter and Sudarshan K. Sehgal – Generators of subgroups of $U(\mathbf {Z} G)$ [MR 1003362]
- ÈṀ. Žmud′ – Connectivity of the finite group and generalized characters [MR 1003363]