Fitting Ideals in Number Theory and Arithmetic
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AbstractWe describe classical and recent results concerning the structure of class groups of number fields as modules over the Galois group. When presenting more modern developments, we can only hint at the much broader context and the very powerful general techniques that are involved, but we endeavour to give complete statements or at least examples where feasible. The timeline goes from a classical result proved in 1890 (Stickelberger’s Theorem) to a recent (2020) breakthrough: the proof of the Brumer-Stark conjecture by Dasgupta and Kakde.
2004 ◽
Vol 70
(2)
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pp. 267-277
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2020 ◽
Vol 0
(0)
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2002 ◽
Vol 01
(03)
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pp. 243-253
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2019 ◽
Vol 5
(1)
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pp. 495-498
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2005 ◽
Vol 57
(3)
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pp. 827-857
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1999 ◽
Vol 1
(1)
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pp. 35-49
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1970 ◽
Vol 2
(Part_3)
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pp. 525-529
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1966 ◽
Vol 27
(1)
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pp. 239-247
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