Contemporary Mathematics 1989; 357 pp; softcover Volume: 93 ISBN10: 0821850989 ISBN13: 9780821850985 List Price: US$69 Member Price: US$55.20 Order Code: CONM/93
 This volume is dedicated to the memory of the Soviet mathematician S. D. Berman (19221987). Berman's workfor the most part in representation theory, group rings, and coding theoryis discussed here in a number of review articles. Among the topics covered are Berman's achievements in coding theory, including his pioneering work on abelian codes and his results on the theory of threshold functions. Also discussed are his contributions to the representation theory of groups over fields, his work on integral representations of groups, his accomplishments in infinite abelian group rings, and his fundamental results on units in integral group rings. In addition, there are 22 research articles written by an international group of researchers in areas of Berman's major interest. Table of Contents  B. N. Gartshtein and I. I. Grushko  The S. D. Berman work on coding theory and on theory of threshold functions
 G. Karpilovsky  Berman's contributions to group representations over fields
 A. I. Lichtman  S. D. Berman's contribution to the theory of integral representations of finite groups
 W. May  The work of S. D. Berman on infinite abelian group rings
 R. Sandling  Berman's work on units in group rings
 J. G. Berkovic  On \(p\)subgroups of finite symmetric and alternating groups
 S. D. Berman and N. I. Vishnyakova  Locally cyclic modules over a valuation ring
 K. Buzási  On the modules over a real crossed group algebra
 K. Buzási and L. G. Kovács  The minimal number of generators of wreath products of nilpotent groups
 G. Cliff and A. Weiss  Torsion free space groups and permutation lattices for finite groups
 E. C. Dade  Clifford theory and induction from subgroups
 V. Drensky  The isomorphism problem for modular group algebras of groups with large centres
 D. R. Farkas and P. A. Linell  Zero divisors in group rings: something old, something new
 A. W. Hales and I. B. S. Passi  The augmentation quotients of finite abelian \(p\)groups
 B. Hartley  Free groups in normal subgroups of unit groups and arithmetic groups
 K. Hoechsmann  On the BassMilnor index of abelian \(p\)groups
 G. L. Katsman and M. A. Tsafsman  A remark on algebraic geometric codes
 E. S. Kerer  On decomposition of a binomial in a skew polynomial ring
 L. Krop  The associated graded algebra of a group algebra
 A. I. Lichtman  On nilpotent and soluble subgroups of linear groups over fields of fractions of enveloping algebras and of group rings, I
 M. Lorenz and D. S. Passman  The structure of \(G_0\) for certain polycyclic group algebras and related algebras
 W. May  The direct factor problem for modular abelian group algebras
 T. Z. Mollov  On the isomorphism of the semisimple group algebras of the primary abelian groups
 S. I. Ostrovskaya  On the canonical irreducible representations of countable locally finite groups and infinite Frobenius group
 J. Ritter and S. K. Sehgal  Generators of subgroups of \(U(\Bbb ZG)\)
 E. M. Žmud  Connectivity of the finite group and generalized characters
