main conjecture of Iwasawa theory implies Herbrand-Ribet - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-26T06:36:12Z http://mathoverflow.net/feeds/question/110167 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/110167/main-conjecture-of-iwasawa-theory-implies-herbrand-ribet main conjecture of Iwasawa theory implies Herbrand-Ribet Timo Keller 2012-10-20T16:26:31Z 2012-10-20T17:24:51Z <p>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 $p$)".</p> http://mathoverflow.net/questions/110167/main-conjecture-of-iwasawa-theory-implies-herbrand-ribet/110171#110171 Answer by Rob Harron for main conjecture of Iwasawa theory implies Herbrand-Ribet Rob Harron 2012-10-20T17:24:51Z 2012-10-20T17:24:51Z <p>The statement and proof are given in Mazur–Wiles starting at page 216.</p>