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Kronecker–Weber theorem
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==References== *{{Citation | last1=Ghate | first1=Eknath | editor1-last=Adhikari | editor1-first=S. D. | editor2-last=Katre | editor2-first=S. A. | editor3-last=Thakur | editor3-first=Dinesh | title=Cyclotomic fields and related topics (Pune, 1999) | chapter-url=http://www.math.tifr.res.in/~eghate/kw.pdf | publisher=Bhaskaracharya Pratishthana, Pune |mr=1802379 | year=2000 | chapter=The Kronecker-Weber theorem | pages=135–146}} *{{cite journal |last=Greenberg |first=M. J. |year=1974 |title=An Elementary Proof of the Kronecker-Weber Theorem |journal=American Mathematical Monthly |volume=81 |issue=6 |pages=601–607 |doi=10.2307/2319208|jstor= 2319208 }} *{{Citation | last1=Hazewinkel | first1=Michiel | author-link = Michiel Hazewinkel | title=Local class field theory is easy | doi=10.1016/0001-8708(75)90156-5 | doi-access=free |mr=0389858 | year=1975 | journal=[[Advances in Mathematics]] | issn=0001-8708 | volume=18 | issue=2 | pages=148–181| url=https://ir.cwi.nl/pub/9964/9964A.pdf }} *{{Citation | last1=Hilbert | first1=David | author1-link=David Hilbert | title=Ein neuer Beweis des Kronecker'schen Fundamentalsatzes über Abel'sche Zahlkörper. | url=http://resolver.sub.uni-goettingen.de/purl?GDZPPN002497263 | language=de | year=1896 | journal=Nachrichten der Gesellschaft der Wissenschaften zu Göttingen | pages=29–39}} *{{Citation | last1=Kronecker | first1=Leopold | author1-link=Leopold Kronecker | title=Über die algebraisch auflösbaren Gleichungen | url=https://books.google.com/books?id=Gwi0Wum8LY0C&pg=PA3 | language=de | id=Collected works volume 4 | orig-date=1853 | year=1968| journal=Berlin K. Akad. Wiss. | pages=365–374| isbn=9780821849828 }} *{{Citation | last1=Kronecker | first1=Leopold | author1-link=Leopold Kronecker | title=Über Abelsche Gleichungen | language=de | id=Collected works volume 4 | orig-date=1877 | year=1968 | journal=Berlin K. Akad. Wiss. | pages=845–851|url=https://books.google.com/books?id=Gwi0Wum8LY0C&pg=PA65| isbn=9780821849828 }} *{{Citation | last1=Lemmermeyer | first1=Franz | title=Kronecker-Weber via Stickelberger |mr=2211307 | year=2005 | journal=[[Journal de théorie des nombres de Bordeaux]] | issn=1246-7405 | volume=17 | issue=2 | pages=555–558 | doi=10.5802/jtnb.507| arxiv=1108.5671 }} *{{Citation | last1=Lubin | first1=Jonathan | title=The local Kronecker-Weber theorem | doi=10.2307/1998574 |mr=621978 | year=1981 | journal=[[Transactions of the American Mathematical Society]] | issn=0002-9947 | volume=267 | issue=1 | pages=133–138| jstor=1998574 | doi-access=free }} *{{Citation | last1=Lubin | first1=Jonathan | last2=Tate | first2=John | author2-link=John Tate (mathematician) | title=Formal complex multiplication in local fields | jstor=1970622 | mr=0172878 | doi=10.2307/1970622 | year=1965 | journal=[[Annals of Mathematics]] |series=Second Series | issn=0003-486X | volume=81 | issue=2 | pages=380–387}} *{{Citation | last1=Lubin | first1=Jonathan | last2=Tate | first2=John | author2-link=John Tate (mathematician) | title=Formal moduli for one-parameter formal Lie groups | url=http://www.numdam.org/item?id=BSMF_1966__94__49_0 | mr=0238854 | year=1966 | journal=Bulletin de la Société Mathématique de France | issn=0037-9484 | volume=94 | pages=49–59| doi=10.24033/bsmf.1633 | doi-access=free }} *{{Citation | last1=Neumann | first1=Olaf | title=Two proofs of the Kronecker-Weber theorem "according to Kronecker, and Weber" | url=http://resolver.sub.uni-goettingen.de/purl?GDZPPN002198282 | doi=10.1515/crll.1981.323.105 |mr=611446 | year=1981 | journal=[[Journal für die reine und angewandte Mathematik]] | issn=0075-4102 | volume=323 | issue=323 | pages=105–126}} *{{Citation | last1=Rosen | first1=Michael | title=An elementary proof of the local Kronecker-Weber theorem | doi=10.2307/1999753 |mr=610968 | year=1981 | journal=[[Transactions of the American Mathematical Society]] | issn=0002-9947 | volume=265 | issue=2 | pages=599–605| jstor=1999753 | doi-access=free }} *{{Citation | last1=Šafarevič | first1=I. R. | title=A new proof of the Kronecker-Weber theorem | url=http://mi.mathnet.ru/eng/tm/v38/p382 | publisher=Izdat. Akad. Nauk SSSR | location=Moscow | language=ru | series=Trudy Mat. Inst. Steklov. |mr=0049233 | year=1951 | volume=38 | pages=382–387}} *{{Citation | last1=Schappacher | first1=Norbert | title=Matériaux pour l'histoire des mathématiques au XX<sup>e</sup> siècle (Nice, 1996) | chapter-url=http://www.emis.de/journals/SC/1998/3/html/smf_sem-cong_3_243-273.html | publisher=[[Société Mathématique de France]] | location=Paris | series=Sémin. Congr. | isbn=978-2-85629-065-1 |mr=1640262 | year=1998 | volume=3 | chapter=On the history of Hilbert's twelfth problem: a comedy of errors | pages=243–273}} *{{Citation | last1=Weber | first1=H. | title=Theorie der Abel'schen Zahlkörper | language=de | doi=10.1007/BF02417089 | year=1886 | journal=[[Acta Mathematica]] | issn=0001-5962 | volume=8 | pages=193–263| doi-access=free }}
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