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9783642069598

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From the reviews: The author's aim in this book is to present a proof of the so-called Iwasawa Main Conjecture for the pth cyclotomic field ! . The text is written in a clear and attractive style, with enough explanation helping the reader orientate in the midst of technical details. According to the authors, the book is intended for graduate students and the non-expert in Iwasawa theory. I think that also the expert may enjoy reading this kind of unified treatment of such a beautiful theme. (Tauno Metsankyla, Zentralblatt MATH, Vol. 1100 (2), 2007) This book was written to present in full detail a complete proof of the so-called 'Main Conjecture' in the arithmetic theory of cyclotomic fields. ! The book is intended for graduate students and the non-expert in Iwasawa theory; however, the expert will find this work a valuable source in the arithmetic theory of cyclotomic fields. The book is very pleasant to read and is written with enough detail ! . The authors have contributed in an important way to Iwasawa theory with this beautiful book. (Gabriel D. Villa-Salvador, Mathematical Reviews, Issue 2007 g)

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