On the Structure of Skew Group Rings |
Contents
Generalities about skew group rings | 14 |
3 The center of K | 21 |
Skew group rings with pnilpotent | 27 |
Copyright | |
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Common terms and phrases
36 Seiten abelian Algebra artinian principal ideal artinian ring assertions are equivalent block idempotents Bodo Pareigis central idempotent Chap chapter Char(K commutative composition factors composition series conjugacy classes cyclic decomposition defect group dimensional direct sum epimorphism Example F-dim finite group finite length finite representation type following assertions following theorem Frobenius group G-orbit group homomorphism hence implies indecomposable projective modules isomorphic J(KG K-algebra k-basis K-dimension K-linear K-spaces K[HP K[N]-module Kasch Ker(T kernel group KG modules Lemma Let G lower Loewy chains M₁ M₂ modules with finite Müller München normal subgroup normalizing basis p-group p-length one group p-solvable p-length p-Sylow subgroup P(KG primary decomposable principal ideal ring Proof Proposition right artinian right excellent extension right P.D.S.-ring right S-module semisimple shows simple module skew group rings splitting field submodule trivial module twosided ideal uniserial upper and lower well-known Z(KG
References to this book
Abelian Groups, Rings, Modules, and Homological Algebra Pat Goeters,Overtoun M.G. Jenda Limited preview - 2006 |