Cyclotomic Fields

  • Serge Lang
Part of the Graduate Texts in Mathematics book series (GTM, volume 110)


This chapter achieves two purposes simultaneously. It gives examples for the theory, and also describes in greater details the cyclotomic fields which exert a great deal of control over algebraic number theory in general. The extent to which they exert this control is in fact not yet clearly understood, but one knows for instance that the heart of the proofs of class field theory is concentrated in the cyclotomic fields.


Finite Field Galois Group Prime Power Residue Class Algebraic Integer 
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Copyright information

© Springer Science+Business Media New York 1994

Authors and Affiliations

  • Serge Lang
    • 1
  1. 1.Department of MathematicsYale UniversityNew HavenUSA

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