Integral Representations: Topics in Integral Representation Theory. Integral Representations and Presentations of Finite Groups by Roggenkamp, K. W. |
Contents
10 | |
Relations between global and local questions | 26 |
Orders in separable algebras | 39 |
5 | 61 |
6 | 70 |
Grothendieck rings of integral group rings | 101 |
101 | 141 |
Irving Reiner | 145 |
1 | 146 |
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Common terms and phrases
A-exact A-lattice A-projective A/PA algebraic number field assume augmentation ideal automorphism commutative diagram completes the proof cyclic group decomposes decomposition Dedekind domain Dedekind ring defined denote direct sum direct summand element epimorphism essential cover exact sequence exists extension f.g. left finite group follows Frobenius group G RG genus GR(A Grothendieck Grothendieck group Hence Hom M,N homomorphism idempotent indecomposable induces integral representations K-algebra K-theory K₁ K₁(A K₂ kernel lattices left A-module Lemma Let G M₁ M₂ Math matrix maximal ideal maximal order morphism multiplication non-isomorphic non-trivial nonzero notation obtain P-adic p-group prime ideals projective cover prove R-order R-torsion Reiner relation cores relation modules representation type result RG-lattice RG-module Schanuel's Lemma semisimple simple skewfield split subgroup of G surjection Swan's Theorem Theorem Λα