Project Euclid

References

• [1] Burgoyne, N. and Fong, P. The Schur Multipliers of the Mathieu Groups. Nagoya Math. Journal, Vol. 27 (1966), pp. 733-745. (We refer thereader to this paper for all definitions andany unexplained notation).
  Mathematical Reviews (MathSciNet): MR33:5707
  Zentralblatt MATH: 0171.28801
  Project Euclid: euclid.nmj/1118801786
  
• [2] Coxeter, H.S.M.Twelve Points in PG(5,3) with 95040 self-transformations. Proc. Roy. Soc.A, 247 (1958) pp. 279-293.
  Mathematical Reviews (MathSciNet): MR22:11044
  Digital Object Identifier: doi:10.1098/rspa.1958.0184
  
• [3] Brauer, R.On groups whose order contains a prime number to thefirstpower I. Am. Jour. Math. Vol. 64 (1942), pp. 401-420.
  Mathematical Reviews (MathSciNet): MR4:1e
  Zentralblatt MATH: 0061.03703
  Digital Object Identifier: doi:10.2307/2371693
  
• [4] Stanton, R.G.TheMathieu groups. Can.Jour. Math. Vol. 3 (1951), pp. 164-174.
  Mathematical Reviews (MathSciNet): MR12:672d
  Digital Object Identifier: doi:10.4153/CJM-1951-021-6
  
• [5] Frobenius, G. Uber die Charaktere der mehrfach transitiven Gruppen. Sitz. Preuss. Akad. Wiss. (1904), pp. 558-571.
• [6] Witt, E.Die 5-fach transitiven Gruppen von Mathieu. Abhand. Math. Sem. Ham- burg, Vol. 12 (1938), pp. 256-264.
  Zentralblatt MATH: 0019.25105
  
• [7] Cartan, H. and Eilenberg, S. Homological Algebra. Princeton (1956).
  Mathematical Reviews (MathSciNet): MR17:1040e
  
• [8] Schur, I. Uber die Darstellung der symmetrischen und der alternierenden Gruppe durch gebrochene lineare Substitutionen. Jour, fur Math. (Crelle), Vol. 139 (1911) pp. 155-250.
• [9] Thompson,J. Vertices and Sources. To appear in theJournal ofAlgebra. Department of Mathematics University of Illinois Chicago, Illinois
  Mathematical Reviews (MathSciNet): MR34:7677
  Zentralblatt MATH: 0167.29902
  Digital Object Identifier: doi:10.1016/0021-8693(67)90009-9