Integral representations. Topics in integral representation theory by I. Reiner. Integral representations and presentations of finite groups by K. W. Roggenkamp

zbMath0431.20001MaRDI QIDQ1138077

Irving Reiner, Klaus W. Roggenkamp

Publication date: 1979

Published in: Lecture Notes in Mathematics (Search for Journal in Brave)

zbMATH Keywords

linear representationsinflationcentral extensionsGrothendieck groupsprojective coversFrobenius groupshort exact sequencegeneramodule extensionsprojective representationsrelation modulesSchur's theoremFrobenius reciprocityrestriction mapsprojective class groupaugmentation ideallattices over ordersorders of finite representation typeFrobenius complementreduced normstem extensionpresentation ranksemi-simple algebracategories of group extensionscharacter ring of group ringessential coversessential epimorphismsfree presentationsHeller- modulesinteral group ringisomorphism problem of group ringsp-sylow subgroupsrelation coresemilocal Dedekind ringsimple left modulesWhitehead groups of group rings

Mathematics Subject Classification ID

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

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