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Projective plane
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==References== *{{Citation | last1 = Albert | first1 = A. Adrian |author1-link=Abraham Adrian Albert| last2 = Sandler | first2 = Reuben | title = An Introduction to Finite Projective Planes | publisher = Holt, Rinehart and Winston | place = New York | year = 1968}} *{{citation|first=John C.|last=Baez|author-link=John C. Baez|title=The octonions|journal=Bull. Amer. Math. Soc.|volume= 39|year=2002|issue=2|pages=145–205|url=http://math.ucr.edu/home/baez/octonions/|doi=10.1090/S0273-0979-01-00934-X|arxiv=math/0105155|s2cid=586512}} * {{Citation | last1 = Bamberg | first1 = John | last2 = Penttila | first2 = Tim | title = Completing Segre's proof of Wedderburn's little theorem | journal = Bulletin of the London Mathematical Society | year = 2015 | volume = 47 | issue = 3 | pages = 483–492 | doi = 10.1112/blms/bdv021| s2cid = 123036578 | url = https://api.research-repository.uwa.edu.au/files/9699048/BambergPenttilaRevised.pdf }} *{{citation | first=Glen E. | last=Bredon | author-link=Glen Bredon | title=Topology and Geometry | publisher=Springer-Verlag | year=1993 | isbn=0-387-97926-3}} * {{citation|last=Bruck|first=R. H.|author-link=Richard Bruck|title=Difference Sets in a Finite Group|journal=Trans. Amer. Math. Soc.|year=1955|volume=78|issue=2|pages=464–481|doi=10.1090/s0002-9947-1955-0069791-3|doi-access=free}} * {{citation|last1=Bruck|first1=R. H.|author1-link=Richard Bruck|last2=Bose|first2=R. C.|author2-link=Raj Chandra Bose|title=The Construction of Translation Planes from Projective Spaces|journal=J. Algebra|year=1964|volume=1|pages=85–102|doi=10.1016/0021-8693(64)90010-9|url=http://repository.lib.ncsu.edu/bitstream/1840.4/2172/1/ISMS_1963_378.pdf}} * {{Citation | last = Casse | first = Rey | title = Projective Geometry: An Introduction | publisher = Oxford University Press | place = Oxford | year = 2006 | isbn =0-19-929886-6 }} * {{Citation | last1=Dembowski | first1=Peter | title=Finite geometries | publisher=[[Springer-Verlag]] | location=Berlin, New York | series=[[Ergebnisse der Mathematik und ihrer Grenzgebiete]], Band 44 | mr=0233275 | year=1968 | isbn=3-540-61786-8 | url-access=registration | url=https://archive.org/details/finitegeometries0000demb }} *{{citation | last = Gleason | first = Andrew M. | author-link = Andrew Gleason | doi = 10.2307/2372469 | journal = [[American Journal of Mathematics]] | mr = 0082684 | pages = 797–807 | title = Finite Fano planes | volume = 78 | year = 1956| issue = 4 | jstor = 2372469 }} *{{citation | last = Gorodkov | first = Denis | doi = 10.1007/s00454-018-00055-w | issue = 2 | journal = Discrete & Computational Geometry | pages = 348–373 | title = A 15-vertex triangulation of the quaternionic projective plane | volume = 62 | year = 2019| arxiv = 1603.05541 }} *{{Citation | last1=Hall | first1=Marshall |author-link=Marshall Hall (mathematician)| title=Projective planes | jstor=1990331 | mr=0008892 | year=1943 | journal=[[Transactions of the American Mathematical Society]] | issn=0002-9947 | volume=54 | pages=229–277 | issue=2 | publisher=American Mathematical Society | doi=10.2307/1990331| doi-access=free }} *{{citation | first1=D.|last1= Hughes|first2= F.|last2=Piper | title=Projective Planes | publisher=Springer-Verlag | year=1973 | isbn=0-387-90044-6}} *{{Citation | last = Kárteszi | first = F. | title = Introduction to Finite Geometries| publisher = North-Holland | place = Amsterdam | year = 1976 | isbn = 0-7204-2832-7}} *{{citation |last=Lam |first=Clement W. H. |author-link=Clement W. H. Lam |title=The Search for a Finite Projective Plane of order 10 |journal=[[The American Mathematical Monthly]] |year=1991| volume=98 |issue=4| pages=305–318 |doi=10.1080/00029890.1991.12000759 |jstor=2323798 |url= https://www.maa.org/sites/default/files/pdf/upload_library/22/Ford/Lam305-318.pdf |access-date=2021-11-02}} *{{citation |editor-last1=Lindner |editor-first1=Charles C. |editor-first2=Christopher A. |editor-last2=Rodger |title=Design Theory |publisher=CRC Press |edition=2st |date=October 31, 1997 |isbn=0-8493-3986-3}} *{{Citation |last=Lüneburg |first=Heinz |title=Translation Planes |publisher=Springer Verlag |place=Berlin |year=1980 |isbn=0-387-09614-0 |url=https://archive.org/details/translationplane0000lune |url-access=registration}} *{{Citation | last1=Moulton | first1=Forest Ray | author-link = Forest Ray Moulton | title=A Simple Non-Desarguesian Plane Geometry | jstor=1986419 | year=1902 | journal=[[Transactions of the American Mathematical Society]] | issn=0002-9947 | volume=3 | issue=2 | pages=192–195 | doi=10.2307/1986419| doi-access=free }} *{{Citation | last1 = Room | first1 = T. G.|author1-link=Thomas Gerald Room | last2 = Kirkpatrick | first2 = P. B. | title = Miniquaternion Geometry | publisher = Cambridge University Press | place = Cambridge | year = 1971 |isbn = 0-521-07926-8}} *{{citation | first=I. R. | last=Shafarevich | author-link=Igor Shafarevich | title=Basic Algebraic Geometry | publisher=Springer-Verlag | year=1994 | isbn=0-387-54812-2 | url-access=registration | url=https://archive.org/details/basicalgebraicge00irsh }} *{{Citation | last = Stevenson | first = Frederick W. | title = Projective Planes | publisher = W.H. Freeman and Company | place = San Francisco |year = 1972 | isbn = 0-7167-0443-9}} *{{citation | last = Weintraub | first = Steven H. | doi = 10.2307/2042588 | journal = Proceedings of the American Mathematical Society | pages = 75–82 | title = Group actions on homology quaternionic projective planes | volume = 70 | year = 1978| issue = 1 | jstor = 2042588 }}
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