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Algebraic Number Theory and Class Field Theory
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Algebraic Number Theory and Class Field Theory
by Holden Lee
Publisher: MIT 2012
Number of pages: 341
Description:
Contents: Rings of integers; Ideal factorization; The class group; The algebra of quadratic forms; Units in number fields; Cyclotomic fields; Valuations and completions; Local and global fields; Ramification; Class Field Theory; Group homology and cohomology; Introduction to Galois cohomology; Local class field theory; Global class field theory; Applications; Complex multiplication.