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The subgroup structure of the Mathieu group 
Authors:
Francis Buekenhout and Sarah Rees
Journal:
Math. Comp. 50 (1988), 595-605
MSC:
Primary 20D08
MathSciNet review:
929556
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Additional Information
Abstract: We present a full description of the lattice of subgroups of the Mathieu group .
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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
(87d:20019), http://dx.doi.org/10.1090/conm/045/822231
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(88g:20025)
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Volkmar
Felsch and Günter
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(85k:20003)
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A. Ronan and G.
Stroth, Minimal parabolic geometries for the sporadic groups,
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J. Tits, "Buildings and Buekenhout geometries," in Finite Simple Groups II (M. Collins, ed.), Academic Press, New York, 1981, pp. 309-320.
- [1]
- F. Buekenhout, "Diagram geometries for sporadic groups," in Finite Groups--Coming of Age, Conf. Proceedings (J. McKay, ed.), Contemporary Mathematics, vol. 45, Amer. Math. Soc., Providence, RI, 1985. MR 822231 (87d:20019)
- [2]
- F. Buekenhout, "The geometry of the finite simple groups," in Buildings and the Geometry of Diagrams, Como, 1984 (L. Rosati, ed.), Lecture Notes in Math., vol. 1181, Springer-Verlag, Berlin, Heidelberg, New York. MR 843389 (87h:20032)
- [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 & R. A. Wilson, Atlas of Finite Groups, Oxford Univ. Press, 1985. MR 827219 (88g:20025)
- [5]
- O. Diawara, Sur le Groupe Simple de J. McLaughlin, Thesis, Université Libre de Bruxelles, 1984.
- [6]
- V. Felsch & G. Sandlöber, "An interactive program for computing subgroups," Computational Group Theory (M. Atkinson, ed.), Academic Press, New York, 1984. MR 760655 (85k:20003)
- [7]
- M. Ronan & G. Stroth, "Minimal parabolic geometries for the sporadic groups," European J. Combin., v. 5, 1984, pp. 59-92. MR 746047 (85e:20020)
- [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.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0025-5718-1988-0929556-X
PII:
S 0025-5718(1988)0929556-X
Article copyright:
© Copyright 1988 American Mathematical Society
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