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Profinite group
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==References== {{reflist}} * {{cite book | last1=Fried | first1=Michael D. | last2=Jarden | first2=Moshe | title=Field arithmetic | edition=3rd revised | series=Ergebnisse der Mathematik und ihrer Grenzgebiete. 3. Folge | volume=11 | publisher=[[Springer-Verlag]] | year=2008 | isbn=978-3-540-77269-9 | zbl=1145.12001 }} *{{citation | last1 = Nikolov | first1 = Nikolay | last2 = Segal | first2 = Dan | arxiv = math.GR/0604399 | title = On finitely generated profinite groups, I: strong completeness and uniform bounds | journal = Annals of Mathematics | series = 2nd series | pages = 171β238 | volume = 165 | issue = 1 | date = 2007 | doi = 10.4007/annals.2007.165.171 | doi-access = free}}. *{{citation | last1 = Nikolov | first1 = Nikolay | last2 = Segal | first2 = Dan | arxiv = math.GR/0604400 | title = On finitely generated profinite groups, II: products in quasisimple groups | journal = Annals of Mathematics | series = 2nd series | pages = 239β273 | volume = 165 | issue = 1 | date = 2007 | doi = 10.4007/annals.2007.165.239 | doi-access = free}}. *{{citation | last = Lenstra | first = Hendrik | author-link = Hendrik Lenstra | publisher = talk given at [[Mathematical Research Institute of Oberwolfach|Oberwolfach]] | title = Profinite Groups | url = http://websites.math.leidenuniv.nl/algebra/Lenstra-Profinite.pdf | year = 2003}}. *{{citation | last = Lubotzky | first = Alexander | author-link = Alexander Lubotzky | journal = [[Bulletin of the American Mathematical Society]] | pages = 475β479 | title = Book Review | volume = 38 | year = 2001 | doi = 10.1090/S0273-0979-01-00914-4 | issue = 4| doi-access = free }}. Review of several books about profinite groups. *{{citation | last = Serre | first = Jean-Pierre | author-link = Jean-Pierre Serre | mr = 1324577 | zbl=0812.12002 | language=fr | isbn = 978-3-540-58002-7 | publisher = [[Springer-Verlag]] | series = Lecture Notes in Mathematics | title = Cohomologie galoisienne | volume = 5 | edition = 5 | year = 1994}}. {{citation | last=Serre | first=Jean-Pierre | author-link=Jean-Pierre Serre | title=Galois cohomology | others=Translated by Patrick Ion | publisher=[[Springer-Verlag]] | year=1997| isbn=3-540-61990-9 | zbl=0902.12004 }} *{{citation | last = Waterhouse | first = William C. | author-link = William C. Waterhouse | doi = 10.1090/S0002-9939-1974-0325587-3 | doi-access = free | issue = 2 | journal = [[Proceedings of the American Mathematical Society]] | pages = 639β640 | title = Profinite groups are Galois groups | volume = 42 | year = 1974 | jstor = 2039560 | zbl=0281.20031 | publisher = American Mathematical Society }}. [[Category:Infinite group theory]] [[Category:Topological groups]]
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