Abstract
Let L F be a finite separable extension, L ∗ = L{0} , and T( L ∗ F ∗ ) the torsion subgroup of L ∗ F ∗ . When L F is an abelian extension T( L ∗ F ∗ ) is explicitly determined. This information is used to study the structure of T( L ∗ F ∗ ) . In particular, T( F(α) ∗ F ∗ ) when a m = a ∈ F is explicitly determined.
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