Integral representations. Topics in integral representation theory by I. Reiner. Integral representations and presentations of finite groups by K. W. Roggenkamp. (English) Zbl 0431.20001

Lecture Notes in Mathematics. 744. Berlin-Heidelberg-New York: Springer-Verlag. 275 p. DM 28.50; $ 15.70 (1979).


20-02 Research exposition (monographs, survey articles) pertaining to group theory
16-02 Research exposition (monographs, survey articles) pertaining to associative rings and algebras
20J05 Homological methods in group theory
20C05 Group rings of finite groups and their modules (group-theoretic aspects)
20C10 Integral representations of finite groups
20F05 Generators, relations, and presentations of groups
20E22 Extensions, wreath products, and other compositions of groups
20C25 Projective representations and multipliers
16S34 Group rings
16E20 Grothendieck groups, \(K\)-theory, etc.
16S20 Centralizing and normalizing extensions
16H05 Separable algebras (e.g., quaternion algebras, Azumaya algebras, etc.)
16Gxx Representation theory of associative rings and algebras
16D40 Free, projective, and flat modules and ideals in associative algebras
18F25 Algebraic \(K\)-theory and \(L\)-theory (category-theoretic aspects)
18F30 Grothendieck groups (category-theoretic aspects)
13F05 Dedekind, Prüfer, Krull and Mori rings and their generalizations