Theorems in algebraic number theory | Cyclotomic fields

Thaine's theorem

In mathematics, Thaine's theorem is an analogue of Stickelberger's theorem for real abelian fields, introduced by Thaine. Thaine's method has been used to shorten the proof of the Mazur–Wiles theorem, to prove that some Tate–Shafarevich groups are finite, and in the proof of Mihăilescu's theorem. (Wikipedia).

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Related pages

Stickelberger's theorem | Tate–Shafarevich group | Mihăilescu's theorem