Suppose L/F is a field extension, then L/P/F with P/F abelian and L/Q/F with Q/F abelian implies PQ=P(Q) abelian.
After trying to pick element from PQ, I still can't find the relation between PQ and the fact that G(P/F) and G(Q/F) are abelian.
Suppose L/F is a field extension, then L/P/F with P/F abelian and L/Q/F with Q/F abelian implies PQ=P(Q) abelian.
After trying to pick element from PQ, I still can't find the relation between PQ and the fact that G(P/F) and G(Q/F) are abelian.
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