## On the Structure of Skew Group Rings |

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### Contents

Generalities about skew group rings | 14 |

3 The center of K G | 21 |

Skew group rings with pnilpotent | 27 |

Copyright | |

2 other sections not shown

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### Common terms and phrases

abelian Algebra artinian principal ideal artinian ring assertions are equivalent block idempotents central idempotent Chap chapter Char(K commutative composition factors composition series conjugacy classes CQ(e decomposition defect group dimensional direct sum epimorphism Example F-dim(F finite group finite length finite representation type following assertions following theorem Formanek-Jategoankar Theorem Frobenius group G modules G-orbit G:NCG(a group homomorphism Helmut Zoschinger hence idempotents of K[N implies indecomposable module indecomposable projective modules isomorphic K-algebra K-dimension K-spaces K[HP K[N]-module Ker(x kernel group Lemma lower Loewy chains lower Loewy series modules with finite Muller normal subgroup normalizing basis p-group p-length one group p-nilpotent group p-solvable p-length primary decomposable principal ideal ring Proof Proposition QF-ring iff Rad(K right artinian right excellent extension right P.D.S.-ring right S-module semisimple shows simple module skew group rings splitting field submodule Toma Albu trivial module twosided ideal uniserial unitary pair upper and lower well-known Wolfgang Zimmermann

### References to this book

Abelian Groups, Rings, Modules, and Homological Algebra Pat Goeters,Overtoun M.G. Jenda Limited preview - 2006 |