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Hurwitz's automorphisms theorem
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==References== {{refbegin}} *{{Citation|last = Hurwitz|first = A.|title = Γber algebraische Gebilde mit Eindeutigen Transformationen in sich|journal = [[Mathematische Annalen]]|volume = 41|issue=3 |year = 1893|pages = 403β442|doi = 10.1007/BF01443420 | doi-access= |jfm=24.0380.02|postscript = . }} * {{Citation | last1=Lucchini | first1=A. | last2=Tamburini | first2=M. C. | title=Classical groups of large rank as Hurwitz groups | doi=10.1006/jabr.1999.7911 | mr=1706821 | year=1999 | journal=Journal of Algebra | issn=0021-8693 | volume=219 | issue=2 | pages=531β546| doi-access=free }} * {{Citation | last1=Lucchini | first1=A. | last2=Tamburini | first2=M. C. | last3=Wilson | first3=J. S. | title=Hurwitz groups of large rank | doi=10.1112/S0024610799008467 | mr=1745399 | year=2000 | journal=Journal of the London Mathematical Society |series=Second Series | issn=0024-6107 | volume=61 | issue=1 | pages=81β92}} * {{Citation | doi=10.4153/CMB-1990-059-8 | doi-access=free | last1=Malle | first1=Gunter | title=Hurwitz groups and G2(q) | mr=1077110 | year=1990 | journal=[[Canadian Mathematical Bulletin]] | issn=0008-4395 | volume=33 | issue=3 | pages=349β357}} * {{Citation | last1=Malle | first1=Gunter | title=Groups of Lie type and their geometries (Como, 1993) | publisher=[[Cambridge University Press]] | series=London Math. Soc. Lecture Note Ser. | mr=1320522 | year=1995 | volume=207 | chapter=Small rank exceptional Hurwitz groups | pages=173β183}} * {{Citation | last1=Tamburini | first1=M. C. | last2=Vsemirnov | first2=M. | title=Irreducible (2,3,7)-subgroups of PGL(n,F) for n β€ 7 | doi=10.1016/j.jalgebra.2006.02.030 | mr=2228652 | year=2006 | journal=Journal of Algebra | issn=0021-8693 | volume=300 | issue=1 | pages=339β362| doi-access= }} * {{citation | last=Wilson | first=R. A. | title=The Monster is a Hurwitz group | journal=Journal of Group Theory | volume=4 | year=2001 | pages=367β374 | mr=1859175 | doi=10.1515/jgth.2001.027 | issue=4 | url=http://web.mat.bham.ac.uk/R.A.Wilson/pubs/MHurwitz.ps | access-date=2015-09-04 | archive-url=https://web.archive.org/web/20120305071856/http://web.mat.bham.ac.uk/R.A.Wilson/pubs/MHurwitz.ps | archive-date=2012-03-05 | url-status=dead | url-access=subscription }} * {{citation | first = David A. | last = Richter | url = http://homepages.wmich.edu/~drichter/mathieu.htm | title = How to Make the Mathieu Group M<sub>24</sub> | access-date = 2010-04-15 | archive-date = 2010-01-16 | archive-url = https://web.archive.org/web/20100116050402/http://homepages.wmich.edu/~drichter/mathieu.htm | url-status = dead }} {{refend}} {{Algebraic curves navbox}} [[Category:Theorems in algebraic geometry]] [[Category:Riemann surfaces]] [[Category:Theorems in group theory]] [[Category:Theorems in complex geometry]]
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