
Let F be a field of characteristic p > 0 p > 0 and let G be a totally projective abelian p-group of countable p-length. If F G ≅ F H FG \cong FH for some group H, then it is shown that G ≅ H G \cong H .
Units, groups of units (associative rings and algebras), Direct sums, direct products, etc. for abelian groups, Group rings, Homological and categorical methods for abelian groups, Torsion groups, primary groups and generalized primary groups
Units, groups of units (associative rings and algebras), Direct sums, direct products, etc. for abelian groups, Group rings, Homological and categorical methods for abelian groups, Torsion groups, primary groups and generalized primary groups
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