Introduction to Cyclotomic Fields by Lawrence C. Washington

Introduction to Cyclotomic Fields



Download Introduction to Cyclotomic Fields




Introduction to Cyclotomic Fields Lawrence C. Washington ebook
Publisher: Springer-Verlag
Format: djvu
ISBN: 0387906223, 9780387906225
Page: 399


Usually, though not always, this will mean roots that lie in . Buy Introduction to Cyclotomic Fields (Graduate Texts in Mathematics) Check Low Price On Sale Price 2013. Washington's Introduction to Cyclotomic Fields. A cyclotomic field in general is a field that is an extension of some base field formed by adjoining all the roots of the polynomial f(x) = xn-1=0 for some specific positive n∈ℤ to the base field. The proof is not very difficult. Labels: algebraic number theory. We will defer discussion of the rest of the proof that G(ℚ(μn)/ℚ)≅(ℤ/nℤ)× for the next installment, since some new and important concepts will be introduced. If I were a Springer-Verlag Graduate Text in Mathematics, I would be Lawrence C. I shall not give the proof here; the interested reader can refer for instance to Washington's Introduction to Cyclotomic Fields. Introduction to Cyclotomic Fields.