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== References == {{Reflist}} *{{Citation | last1=Cameron | first1=Peter J. | author1-link=Peter Cameron (mathematician) | title=Projective and Polar Spaces | url=https://webspace.maths.qmul.ac.uk/p.j.cameron/pps/pps9.pdf | publisher=University of London, Queen Mary and Westfield College | year=1992 | isbn=978-0-902-48012-4 | s2cid=115302359 }} *{{Citation | last1=Cameron | first1=Peter J. | author1-link=Peter Cameron (mathematician) | title=Permutation Groups | publisher=[[Cambridge University Press]] | series=London Mathematical Society Student Texts | isbn=978-0-521-65378-7 | year=1999 | volume=45 | url-access=registration | url=https://archive.org/details/permutationgroup0000came }} * {{citation|last=Carmichael|first=Robert|author-link=Robert Daniel Carmichael|title=Tactical Configurations of Rank Two|journal=American Journal of Mathematics|volume=53|issue=1|pages=217–240|year=1931|jstor=2370885|doi=10.2307/2370885}} *{{Citation | last1=Carmichael | first1=Robert D. | author1-link=Robert Daniel Carmichael | title=Introduction to the theory of groups of finite order | orig-year=1937 | url=https://books.google.com/books?id=McMgAAAAMAAJ | publisher=[[Dover Publications]] | location=New York | isbn=978-0-486-60300-1 |mr=0075938 | year=1956}} * {{Citation | doi = 10.2307/1996123 | pages = 1–27 | title = On Subgroups of M<sub>24</sub>. I: Stabilizers of Subsets | journal = Transactions of the American Mathematical Society | volume = 167 | date = May 1972a | first = C. | last = Choi | jstor = 1996123 }} * {{Cite journal| doi = 10.2307/1996124| pages = 29–47| title = On Subgroups of M<sub>24</sub>. II: the Maximal Subgroups of M<sub>24</sub>| journal = Transactions of the American Mathematical Society| volume = 167| date = May 1972b | first = C.| last = Choi| jstor = 1996124}} *{{Citation | last1=Conway | first1=John Horton | author1-link=John Horton Conway | editor1-last=Powell | editor1-first=M. B. | editor2-last=Higman | editor2-first=Graham | editor2-link=Graham Higman | title=Finite simple groups | chapter-url=https://books.google.com/books?id=TPPkAAAAIAAJ | publisher=[[Academic Press]] | location=Boston, MA | series=Proceedings of an Instructional Conference organized by the London Mathematical Society (a NATO Advanced Study Institute), Oxford, September 1969. | isbn=978-0-12-563850-0 |mr=0338152 | year=1971 | chapter=Three lectures on exceptional groups | pages=215–247}} Reprinted in {{harvtxt|Conway|Sloane|1999|loc= 267–298}} *{{Citation | last1=Conway | first1=John Horton | author1-link=John Horton Conway | last2=Parker | first2=Richard A. | author2-link=Richard A. Parker | last3=Norton | first3=Simon P. | author3-link=Simon P. Norton | last4=Curtis | first4=R. T. | last5=Wilson | first5=Robert A. | author5-link=Robert Arnott Wilson | title=Atlas of finite groups | url=https://books.google.com/books?id=38fEMl2-Fp8C | publisher=[[Oxford University Press]] | isbn=978-0-19-853199-9 |mr=827219 | year=1985}} *{{Citation | last1=Conway | first1=John Horton | author1-link=John Horton Conway | last2=Sloane | first2=Neil J. A. | author2-link=Neil Sloane | title=Sphere Packings, Lattices and Groups | url=https://books.google.com/books?id=upYwZ6cQumoC | publisher=[[Springer-Verlag]] | location=Berlin, New York | edition=3rd | series=Grundlehren der Mathematischen Wissenschaften | isbn=978-0-387-98585-5 |mr=0920369 | year=1999 | volume=290 | doi=10.1007/978-1-4757-2016-7| url-access=subscription }} *{{Citation | last1=Curtis | first1=R. T. | title=A new combinatorial approach to M<sub>24</sub> | doi=10.1017/S0305004100052075 |mr=0399247 | year=1976 | journal=Mathematical Proceedings of the Cambridge Philosophical Society | issn=0305-0041 | volume=79 | issue=1 | pages=25–42| bibcode=1976MPCPS..79...25C }} *{{Citation | last1=Curtis | first1=R. T. | title=The maximal subgroups of M<sub>24</sub> | doi=10.1017/S0305004100053251 |mr=0439926 | year=1977 | journal=Mathematical Proceedings of the Cambridge Philosophical Society | issn=0305-0041 | volume=81 | issue=2 | pages=185–192| bibcode=1977MPCPS..81..185C }} *{{Citation | last1=Curtis | first1=R. T. | editor1-last=Atkinson | editor1-first=Michael D. | title=Computational group theory. Proceedings of the London Mathematical Society symposium held in Durham, July 30–August 9, 1982. | chapter-url=https://books.google.com/books?id=RvvuAAAAMAAJ | publisher=[[Academic Press]] | location=Boston, MA | isbn=978-0-12-066270-8 |mr=760669 | year=1984 | chapter=The Steiner system S(5, 6, 12), the Mathieu group M<sub>12</sub> and the "kitten" | pages=353–358}} * {{Citation |title=The Mathieu groups and their geometries |first=Hans |last=Cuypers |url=http://www.win.tue.nl/~hansc/mathieu.pdf }} *{{Citation | last1=Dixon | first1=John D. | last2=Mortimer | first2=Brian | title=Permutation groups | publisher=[[Springer-Verlag]] | location=Berlin, New York | series=Graduate Texts in Mathematics | isbn=978-0-387-94599-6 | doi=10.1007/978-1-4612-0731-3 | mr=1409812 | year=1996 | volume=163 | url-access=registration | url=https://archive.org/details/permutationgroup0000dixo }} *{{Citation | last1=Frobenius | first1=Ferdinand Georg | author1-link=Ferdinand Georg Frobenius | title=Über die Charaktere der mehrfach transitiven Gruppen | url=https://books.google.com/books?id=ksNjpwAACAAJ | publisher=Mouton De Gruyter | series=Berline Berichte | isbn=978-3-11-109790-9 | year=1904 | pages=558–571}} *{{Citation | last1=Gill | first1=Nick | last2=Hughes | first2=Sam | title=The character table of a sharply 5-transitive subgroup of the alternating group of degree 12 | year=2019 | doi=10.22108/IJGT.2019.115366.1531 | journal=International Journal of Group Theory| s2cid=119151614 }} *{{Citation | last1=Griess | first1=Robert L. Jr. | author1-link=R. L. Griess | title=Twelve sporadic groups | publisher=[[Springer-Verlag]] | location=Berlin, New York | series=Springer Monographs in Mathematics | isbn=978-3-540-62778-4 |mr=1707296 | year=1998 | doi=10.1007/978-3-662-03516-0}} *{{Citation | last1=Hughes | first1=Sam | title=Representation and Character Theory of the Small Mathieu Groups | url=https://nickpgill.github.io/MMath_Sam.Hughes.pdf |year=2018}} * {{Citation | last1=Mathieu | author1-link=Émile Léonard Mathieu | first1=Émile | title=Mémoire sur l'étude des fonctions de plusieurs quantités, sur la manière de les former et sur les substitutions qui les laissent invariables | url=http://gallica.bnf.fr/ark:/12148/bpt6k16405f/f249 | year=1861 | journal=Journal de Mathématiques Pures et Appliquées | volume=6 | pages=241–323}} *{{Citation | last1=Mathieu | author1-link=Émile Léonard Mathieu | first1=Émile | title=Sur la fonction cinq fois transitive de 24 quantités | url=https://gallica.bnf.fr/ark:/12148/bpt6k16417f/f33.item | language=fr | jfm=05.0088.01 | year=1873 | journal=Journal de Mathématiques Pures et Appliquées | volume=18 | pages=25–46 }} *{{Citation | last1=Miller | first1=G. A. | author1-link=George Abram Miller | title=On the supposed five-fold transitive function of 24 elements and 19!/48 values. | url=https://books.google.com/books?id=LMAKAAAAIAAJ&pg=PA187 | year=1898 | journal=[[Messenger of Mathematics]] | volume=27 | pages=187–190}} *{{Citation | last1=Miller | first1=G. A. | author1-link=George Abram Miller | title=Sur plusieurs groupes simples | url=http://www.numdam.org/item?id=BSMF_1900__28__266_0 | year=1900 | journal= Bulletin de la Société Mathématique de France | volume=28 | pages=266–267| doi=10.24033/bsmf.635 | doi-access=free }} *{{Citation | last1=Ronan | first1=Mark | author1-link=Mark Ronan | title=Symmetry and the Monster | publisher=Oxford | isbn=978-0-19-280722-9 | year=2006}} (an introduction for the lay reader, describing the Mathieu groups in a historical context) *{{Citation | last1=Thompson | first1=Thomas M. | title=From error-correcting codes through sphere packings to simple groups | url=https://books.google.com/books?id=ggqxuG31B3cC | publisher=[[Mathematical Association of America]] | series=Carus Mathematical Monographs | isbn=978-0-88385-023-7 |mr=749038 | year=1983 | volume=21}} *{{Citation | last1=Witt | first1=Ernst | author1-link=Ernst Witt | title=über Steinersche Systeme | doi=10.1007/BF02948948 | year=1938a | journal=Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg | issn=0025-5858 | volume=12 | pages=265–275| s2cid=123106337 }} *{{Citation | last1=Witt | first1=Ernst | author1-link=Ernst Witt | title=Die 5-fach transitiven Gruppen von Mathieu | doi=10.1007/BF02948947 | year=1938b | journal=[[Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg]] | volume=12 | pages=256–264| s2cid=123658601 }}
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