Warfield invariants in Abelian group algebras

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Warfield invariants in Abelian group algebras

LetF be a field of characteristic p 6= 0 andG an Abelian group. For each prime q and each ordinal α we calculate in terms of G and its sections the Warfield q-invariantsWα,q(V (FG)) of the group V (FG) of all normalized units in the commutative group algebra FG when either q = p,Gt/Gp is infinite and F is perfect, orG is p-mixed. Surprisingly, these invariants do not depend on F . This supplies...

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ژورنال

عنوان ژورنال: Collectanea mathematica

سال: 2008

ISSN: 0010-0757

DOI: 10.1007/bf03191186