LetF be a field of characteristicp≠0 andG an Abelian group. For each primeq and each ordinal α we calculate in terms ofG and its sections the Warfieldq-invariants W_α,q(V(FG)) of the groupV(FG) of all normalized units in the commutative group algebraFG when eitherq =p, G_t/G_p is infinite and F is perfect, orG is pmixed. Surprisingly, these invariants do not depend onF.
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