作者PttFund (批踢踢基金只进不出)
看板Math
标题[代数] 代数(4)
时间Sun Jul 24 15:54:08 2005
Let F be a field and let f(x) be an irreducible polynomial
of degree 3 over F. Suppose that L is an extension of F of
degree 6 such that f(x) splits into linear factors over L.
Prove that there exists a proper intermediate field K such
that K is Galois over F.
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