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  • In [[algebraic number theory]], '''class field theory''' studies the abelian extensions of an [[algebraic number field]], or more
    191 bytes (26 words) - 17:20, 10 January 2013
  • ...uthor=Emil Artin | authorlink=Emil Artin | coauthors=[[John Tate]] | title=Class field theory | edition=Reprint of the 2nd edition | location=Providence, RI | publisher= * {{cite book | author=Jürgen Neukirch | authorlink=Jürgen Neukirch | title=Class field theory | series=Grundlehren der mathematischen Wissenschaften | volume=280 | year=
    865 bytes (110 words) - 17:22, 10 January 2013
  • 171 bytes (26 words) - 17:18, 10 January 2013
  • * {{r|Global class field theory}} * {{r|Local class field theory}}
    924 bytes (147 words) - 17:24, 10 January 2013

Page text matches

  • In [[algebraic number theory]], '''class field theory''' studies the abelian extensions of an [[algebraic number field]], or more
    191 bytes (26 words) - 17:20, 10 January 2013
  • ...onal number]]s. There need not be a conductor for an extension: indeed, [[class field theory]] shows that one exists precisely when the extension is abelian.
    1 KB (177 words) - 01:07, 18 February 2009
  • ...uthor=Emil Artin | authorlink=Emil Artin | coauthors=[[John Tate]] | title=Class field theory | edition=Reprint of the 2nd edition | location=Providence, RI | publisher= * {{cite book | author=Jürgen Neukirch | authorlink=Jürgen Neukirch | title=Class field theory | series=Grundlehren der mathematischen Wissenschaften | volume=280 | year=
    865 bytes (110 words) - 02:29, 10 January 2013
  • ...uthor=Emil Artin | authorlink=Emil Artin | coauthors=[[John Tate]] | title=Class field theory | edition=Reprint of the 2nd edition | location=Providence, RI | publisher= * {{cite book | author=Jürgen Neukirch | authorlink=Jürgen Neukirch | title=Class field theory | series=Grundlehren der mathematischen Wissenschaften | volume=280 | year=
    865 bytes (110 words) - 17:22, 10 January 2013
  • * {{r|Global class field theory}} * {{r|Local class field theory}}
    924 bytes (147 words) - 17:24, 10 January 2013
  • * {{cite book | author=Jürgen Neukirch | authorlink=Jürgen Neukirch | title=Class field theory | series=Grundlehren der mathematischen Wissenschaften | volume=280 | year=
    3 KB (381 words) - 16:02, 28 October 2008
  • After doing his thesis, he then worked on the geometric analogues of [[class field theory]] and [[diophantine geometry]]. Later he moved into [[diophantine approxima ...Cole Prize|Frank Nelson Cole Prize]] in Algebra for his paper ''Unramified class field theory over function fields in several variables''. <ref>(Annals of Mathematics, S
    7 KB (1,058 words) - 07:16, 9 June 2009
  • Their classification was the object of the programme of [[class field theory]], which was initiated in the late 19th century (partly by [[Kronecker]] an ...plans in mathematics, is sometimes described as an attempt to generalise class field theory to non-abelian extensions of number fields.
    27 KB (4,383 words) - 08:05, 11 October 2011