Remote Access Mathematics of Computation
Green Open Access

Mathematics of Computation

ISSN 1088-6842(online) ISSN 0025-5718(print)

 

 

The subgroup structure of the Mathieu group $ M\sb {12}$


Authors: Francis Buekenhout and Sarah Rees
Journal: Math. Comp. 50 (1988), 595-605
MSC: Primary 20D08
MathSciNet review: 929556
Full-text PDF Free Access

Abstract | References | Similar Articles | Additional Information

Abstract: We present a full description of the lattice of subgroups of the Mathieu group $ {M_{12}}$.


References [Enhancements On Off] (What's this?)

  • [1] Francis Buekenhout, Diagram geometries for sporadic groups, Finite groups—coming of age (Montreal, Que., 1982) Contemp. Math., vol. 45, Amer. Math. Soc., Providence, RI, 1985, pp. 1–32. MR 822231, 10.1090/conm/045/822231
  • [2] Francis Buekenhout, The geometry of the finite simple groups, Buildings and the geometry of diagrams (Como, 1984) Lecture Notes in Math., vol. 1181, Springer, Berlin, 1986, pp. 1–78. MR 843389, 10.1007/BFb0075512
  • [3] J. Cannon, A Language for Group Theory, Univ. of Sydney, 1982.
  • [4] J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker, and R. A. Wilson, Atlas of finite groups, Oxford University Press, Eynsham, 1985. Maximal subgroups and ordinary characters for simple groups; With computational assistance from J. G. Thackray. MR 827219
  • [5] O. Diawara, Sur le Groupe Simple de J. McLaughlin, Thesis, Université Libre de Bruxelles, 1984.
  • [6] Volkmar Felsch and Günter Sandlöbes, An interactive program for computing subgroups, Computational group theory (Durham, 1982) Academic Press, London, 1984, pp. 137–143. MR 760655
  • [7] M. A. Ronan and G. Stroth, Minimal parabolic geometries for the sporadic groups, European J. Combin. 5 (1984), no. 1, 59–91. MR 746047, 10.1016/S0195-6698(84)80020-7
  • [8] A. D. Thomas & G. V. Wood, Group Tables, Shiva Publ. Limited, 1980.
  • [9] J. Tits, "Buildings and Buekenhout geometries," in Finite Simple Groups II (M. Collins, ed.), Academic Press, New York, 1981, pp. 309-320.

Similar Articles

Retrieve articles in Mathematics of Computation with MSC: 20D08

Retrieve articles in all journals with MSC: 20D08


Additional Information

DOI: http://dx.doi.org/10.1090/S0025-5718-1988-0929556-X
Article copyright: © Copyright 1988 American Mathematical Society