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- In [[algebraic number theory]], '''class field theory''' studies the abelian extensions of an [[algebraic number field]], or more191 bytes (26 words) - 17:20, 10 January 2013
- 12 bytes (1 word) - 17:17, 10 January 2013
- 171 bytes (26 words) - 17:18, 10 January 2013
- | pagename = Class field theory | abc = Class field theory818 bytes (67 words) - 17:16, 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
Page text matches
- In [[algebraic number theory]], '''class field theory''' studies the abelian extensions of an [[algebraic number field]], or more191 bytes (26 words) - 17:20, 10 January 2013
- | pagename = Class field theory | abc = Class field theory818 bytes (67 words) - 17:16, 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, S7 KB (1,058 words) - 07:16, 9 June 2009
- ...s in which algebraic integers do not behave like the (rational)integers -- class field theory, structure of class groups, etc. This is only natural: work is done on area ...raic number theory, namely number fields, field extensions, Galois theory, class field theory, and the Langland's program (!!) are waaaaaaaay too sophisticated even to m30 KB (5,120 words) - 18:28, 1 January 2009
- ...uthor=Emil Artin | authorlink=Emil Artin | coauthors=[[John Tate]] | title=Class field theory | series=Mathematics Lecture Note Series | publisher=W.A. Benjamin | year=1 ...uthor=Emil Artin | authorlink=Emil Artin | coauthors=[[John Tate]] | title=Class field theory | edition=Reprint of the 2nd edition | location=Providence, RI | publisher=26 KB (3,355 words) - 04:36, 22 November 2023
- 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