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Generalities about skew group rings
3 The center of K G
Skew group rings with pnilpotent
2 other sections not shown
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 cyclic decomposition defect group dimensional direct sum epimorphism Example F-dim F-dim(F finite group finite length finite representation type following assertions following theorem Formanek-Jategoankar Theorem Frobenius group G modules G-orbit group homomorphism Helmut Zoschinger hence idempotents of K[N implies indecomposable projective modules isomorphic K-algebra k-basis K-dim(E K-spaces K[HP K[N]-module Ker(x kernel group Lemma Math modules with finite Munchen Nakayama normal subgroup normalizing basis p-group p-length one group p-nilpotent group p-solvable p-length p-Sylow subgroup primary decomposable principal ideal ring Proof Proposition QF-ring iff Rad(K radical right artinian right excellent extension right P.D.S.-ring right S-module Seiten semisimple shows simple module skew group rings splitting field submodule trivial module twosided ideal uniserial unitary pair upper and lower well-known