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I need a reference/proof for "main conjecture of Iwasawa theory => refinement of Herbrand-Ribet ($v_p(B_{p-i}) = v_p(|A_i|)$, where $A_i$ denotes the $i$-th eigenspace of the Galois group acting on the ideal class group mod $p$)".

flag	asked Oct 20 at 16:26 Timo Keller 2,621●4●17

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Isn't that in the second edition of Washington, cyclotomic fields? – Joël Oct 20 at 16:29

Rob Harron · Accepted Answer · 2012-10-20 17:24:51Z UTC

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The statement and proof are given in Mazur–Wiles starting at page 216.

answered Oct 20 at 17:24

Rob Harron
3,315●1●8●16

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It can also be found in math.clemson.edu/~jimlb/CourseNotes/iwasawa.pdf p. 65ff. – Timo Keller Oct 20 at 18:16

main conjecture of Iwasawa theory implies Herbrand-Ribet

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main conjecture of Iwasawa theory implies Herbrand-Ribet

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