In this study of concrete realizations of the axiomatic systems of abstract algebra, Curtis and Reiner noted the increased emphasis in the 1950s on integral representations of groups and rings, which had been motivated by questions engendered by homological algebra. They cover background from group theory, representations and modules, algebraic number theory, semi-simple rings and group algebras, group characters, induced characters, induced representations, non-smi-simple rings, Frobenius algebras, splitting fields and separable algebras, integral representations and modular representations. This facsimile edition includes the bibliography and index. Annotation ©2006 Book News, Inc., Portland, OR (booknews.com)