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Galois extension
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== Further reading == {{refbegin|2}} *{{cite book|last=Artin | first=Emil | title=Galois Theory | publisher=Dover Publications | year=1998 | orig-year=1944 | isbn=0-486-62342-4 | authorlink=Emil Artin | mr=1616156 | location=Mineola, NY | others=Edited and with a supplemental chapter by Arthur N. Milgram}} *{{cite book|first=Jörg | last=Bewersdorff | authorlink=Jörg Bewersdorff|title=Galois theory for beginners | others=Translated from the second German (2004) edition by David Kramer | publisher=American Mathematical Society | year=2006 | isbn=0-8218-3817-2 | mr=2251389 | series=Student Mathematical Library | volume=35|doi=10.1090/stml/035| s2cid=118256821 }} *{{cite book | first=Harold M. | last=Edwards | authorlink=Harold Edwards (mathematician) | title=Galois Theory | publisher=Springer-Verlag | location=New York | year=1984 | isbn=0-387-90980-X | mr=0743418 | series=[[Graduate Texts in Mathematics]] | volume=101 | url-access=registration | url=https://archive.org/details/galoistheory00edwa_0 }} ''(Galois' original paper, with extensive background and commentary.)'' *{{cite journal|first= H. Gray | last=Funkhouser | authorlink = Howard G. Funkhouser | title=A short account of the history of symmetric functions of roots of equations | journal=American Mathematical Monthly | year=1930 | volume= 37 | issue=7 | pages=357–365 | doi=10.2307/2299273| publisher= The American Mathematical Monthly, Vol. 37, No. 7| jstor= 2299273 }} *{{springer|title=Galois theory|id=p/g043160}} * {{cite book| first=Nathan | last=Jacobson| title=Basic Algebra I | edition=2nd | publisher=W.H. Freeman and Company | year=1985 | isbn=0-7167-1480-9 | authorlink=Nathan Jacobson}} ''(Chapter 4 gives an introduction to the field-theoretic approach to Galois theory.)'' *{{Cite book| last1=Janelidze | first1=G. | last2=Borceux | first2=Francis | title=Galois theories | publisher=[[Cambridge University Press]] | isbn= 978-0-521-80309-0 | year=2001 }} (This book introduces the reader to the Galois theory of [[Grothendieck]], and some generalisations, leading to Galois [[groupoids]].) *{{Cite book|last1=Lang | first1=Serge | author1-link=Serge Lang | title=Algebraic Number Theory | publisher=[[Springer-Verlag]] | location=Berlin, New York | isbn=978-0-387-94225-4 | year=1994 | mr=1282723 | series=Graduate Texts in Mathematics | volume=110 | edition=Second | doi= 10.1007/978-1-4612-0853-2}} *{{cite book|first=Mikhail Mikhaĭlovich | last=Postnikov | title=Foundations of Galois Theory | others=With a foreword by P. J. Hilton. Reprint of the 1962 edition. Translated from the 1960 Russian original by Ann Swinfen | publisher=Dover Publications | year = 2004 | isbn=0-486-43518-0 | mr=2043554}} *{{cite book |last=Milne |first=James S. |date=2022 |title=Fields and Galois Theory (v5.10) |url=https://www.jmilne.org/math/CourseNotes/ft.html}} *{{cite book|first=Joseph | last=Rotman | title =Galois Theory | series=Universitext | edition=Second | publisher=Springer| year=1998 | isbn=0-387-98541-7 | mr=1645586 | doi=10.1007/978-1-4612-0617-0}} *{{Cite book | last1=Völklein | first1=Helmut | title=Groups as Galois groups: an introduction | publisher=[[Cambridge University Press]] | isbn=978-0-521-56280-5 | year=1996 | series=Cambridge Studies in Advanced Mathematics | volume=53 | mr=1405612 | doi=10.1017/CBO9780511471117 | url-access=registration | url=https://archive.org/details/groupsasgaloisgr0000volk }} *{{Cite book| last1=van der Waerden | first1=Bartel Leendert | author1-link=Bartel Leendert van der Waerden | title=Moderne Algebra |language= German | publisher=Springer | year=1931 | location=Berlin }}. '''English translation''' (of 2nd revised edition): {{Cite book | title = Modern algebra | publisher=Frederick Ungar |location= New York |year= 1949}} ''(Later republished in English by Springer under the title "Algebra".)'' *{{Cite web|title=(Some) New Trends in Galois Theory and Arithmetic |first=Florian |last=Pop |authorlink=Florian Pop|url=http://www.math.upenn.edu/~pop/Research/files-Res/Japan01.pdf |year=2001 }} {{refend}} {{DEFAULTSORT:Galois Extension}} [[Category:Galois theory]] [[Category:Algebraic number theory]] [[Category:Field extensions]]
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