Representation Theory, Group Rings, and Coding Theory

Download or read book Representation Theory, Group Rings, and Coding Theory written by M. Isaacs and published by American Mathematical Soc.. This book was released on 1989 with total page 357 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume is dedicated to the memory of the Soviet mathematician S. D. Berman (1922-1987). Berman's work - for the most part in representation theory, group rings, and coding theory - is 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.