Groupes finis simples sporadiques

 Access to full text

 Full (PDF)

1. Fg = Theory of finite groups, A symposium, edited by R. Bauer and C.-S. Sah, Benjamin, New York, 1969. Zbl0179.30601MR240186
2. [1] E. Artin - The orders of the classical simple groups, Comm. P. Appl. Math., 8 (1955), 455-472. Zbl0065.25703MR73601
3. [2] R. Brauer - On the structure of groups of finite order, Proc. Int. Congr. Math.Amsterdam, 1954, vol. 1, 209-217. Zbl0080.02101MR95203
4. [3] R. Brauer and P. Fong - A characterization of the Mathieu group M12 , Trans. A. M. S., 122 (1966), 18-47. Zbl0138.02503MR207817
5. [4] N. Burgoyne and P. Fong - The Schur multipliers of the Mathieu groups, Nagoya Math. J., 27 (1966), 733-745 ; 31 (1968), 297-304. Zbl0171.28801MR197542
6. [5] R. Carter - Simple groups and simple Lie algebras, J. Lond. Math. Soc., 40 (1965), 193-240. Zbl0232.20017MR174655
7. [6] C. Chevalley - Le groupe de Janko, Sém. Bourbaki, exp. 331, novembre 1967. Zbl0225.20010
8. [7] J.H. Conway - A group of order 8 315 553 613 086 720 000 , Bull. Lond. Math. Soc., 1 (1969), 79-88. (Cf. aussi Proc. Nat. Acad. Sci. U. S. A., 61 (1968), 398-400.) Zbl0186.32304MR248216
9. [8] J.H. Conway - A characterization of Leech's lattice, Inventiones Math., 7 (1969), 137-142. Zbl0212.07001MR245518
10. [9] B. Fischer - Finite groups generated by 3-transpositions, Inventiones Math., à paraître. Zbl0232.20040
11. [10] T.M. Gagen - A characterization of Janko's simple group, Proc. A. M. S., 19 (1968), 1393-1395. Zbl0182.35401MR236257
12. [11] M. Hall - The theory of groups, Macmillan, New York, 1959. Zbl0084.02202MR103215
13. [12] M. Hall and D. Wales - The simple group of order 604,800, J. Algebra, 9 (1968), 417-450. (Cf. aussi FG, 79-90.) Zbl0172.03103MR240192
14. [13] D. Held - The simple group related to M24 , J. Algebra, 13 (1969), 253- 296. (Cf. aussi FG, 121-124.) Zbl0182.04302MR249500
15. [14] Donald G. Higman - Finite permutation groups of rank 3 , Math. Zeitschr., 86 (1964), 145-156. Zbl0122.03205MR186724
16. [15] D.G. Higman and C.C. Sims - A simple group of order 44,352,000 , Math. Zeitschr., 105 (1968), 110-113. Zbl0186.04002MR227269
17. [16] Graham Higman - On the simple group of D. G. Higman and C. C. Sims, Ill. Math. J., 13 (1969), 74-80. Zbl0165.04001MR240193
18. [17] G. Higman and J. McKay - On Janko's simple group of order 50,232,960 , Bull. Lond. Math. Soc., 1 (1969), 89-94. (Cf. aussi FG, 65-77.) Zbl0175.30103MR245668
19. [18] Z. Janko - A new finite simple group with abelian Sylow 2-subgroups and its characterization, J. Algebra, 3 (1966), 147-186. (Cf. aussi Proc. Nat. Acad. Sci. U. S. A., 53 (1965), 657-658.) Zbl0214.28003MR193138
20. [19] Z. Janko - Some new simple groups of finite order, I, Ist. Naz. Alta Math., Symposia Mathematica, vol. I, Oderisi, Gubbio, 1968, 25-64. (Cf. aussi FG, 63-64.) Zbl0182.35303MR244371
21. [20] Z. Janko - A characterization of the Mathieu groups, I, II, J. Algebra, 9 (1968), 1-19, 20-41. Zbl0159.03101MR229710
22. [21] Z. Janko and S.K. Wong - A characterization of the Higman-Sims simple group, J. Algebra, 13 (1969), 517-534. Zbl0184.04602MR260866
23. [22] C. Jordan - Traité des substitutions et des équations algébriques, Paris, Gauthier-Villars, 1870. Zbl0078.01204
24. [23] C. Jordan - Recherches sur les substitutions, J. Math. P. Appl., (2) 17 (1872), 351-363. JFM04.0055.01
25. [24] G. Keller - A characterization of A6 and M11 , J. Algebra, 13 (1969), 409-421. Zbl0214.28001MR249498
26. [25] J. Leech - Some sphere packings in higher space, Canadian J. Math., 16 (1964), 657-682. Zbl0142.20201MR167901
27. [26] J. Leech - Notes on sphere packings, Canadian J. Math., 19 (1967), 251-267. Zbl0162.25901MR209983
28. [27] J.H. Lindsey - Linear groups of degree 6 and the Hall-Janko group, FG, 97-100. Zbl0194.04602
29. [28] D. Livingstone - On a permutation representation of the Janko group, J. Algebra, 6 (1967), 43-55. Zbl0225.20001MR207819
30. [29] H. Luneburg - Über die Gruppen von Mathieu, J. Algebra, 10 (1968), 194-210. Zbl0169.03501MR231900
31. [30] H. Lüneburg - Transitive Erweiterungen endlicher Permutationsgruppen, Lect. Notes Springer, n° 84, 1969. Zbl0217.07301MR241518
32. [31] E. Mathieu - Mémoire sur l'étude des fonctions de plusieurs quantités, J. Math. P. Appl., 6 (1861), 241-243. 
33. [32] E. Mathieu - Sur les fonctions cinq fois transitives de 24 quantités, J. Math. P. Appl., 18 (1873), 25-46. JFM05.0088.01
34. [33] J. McLaughlin - A simple group of order 898,128,000 , FG, 109-111. Zbl0205.32503MR242941
35. [34] H.V. Niemeyer - Definite quadratische Formen der Dimension 24 und Diskriminante 1 , Thèse, Göttingen, 1968. Zbl0258.10009
36. [35] D. Parrott and S.K. Wong - On the Higman-Sims simple group of order 44,352,000 , Pacific J. Math., 32 (1970), 501-516. Zbl0188.06502MR257216
37. [36] J. A. de Seguier - Eléments de la théorie des groupes de substitutions, Paris, Gauthier-Villars, 1912. JFM43.0197.04
38. [37] C.C. Sims - On the isomorphism of two groups of order 44,352,000 , FG, 101-108. Zbl0205.32501MR248215
39. [38] R.G. Stanton - The Mathieu groups, Canadian J. Math., 3 (1951), 164-174. Zbl0042.25601MR40304
40. [39] M. Suzuki - A simple group of order 448,345,497,600 , FG, 113-119. Zbl0205.32502MR241527
41. [40] M. Suzuki - Characterizations of linear groups, Bull. A. M. S., 75 (1969), 1043-1091. Zbl0202.02503MR260889
42. [41] J.G. Thompson - Characterizations of finite simple groups, Travaux Congr. Intern. Math. Moscou, 1966, 158-162. Zbl0186.32404MR236258
43. [42] J.G. Thompson - Nonsolvable finite groups all of whose local subgroups are solvable, Bull. A. M. S., 74 (1968), 383-437. Zbl0159.30804MR230809
44. [43] J. Tits - Généralisations des groupes projectifs basées sur leurs propriétés de transitivité, Acad. Roy. Belg. Mém. Cl. Sci., 27 (1952), fasc. 2. Zbl0048.25702MR57259
45. [44] J. Tits - Groupes simples et géométries associées, Proc. Intern. Congr. Math. Stockholm, 1962, 197-221. Zbl0131.26502MR175903
46. [45] J. Tits - Sur les systèmes de Steiner associés aux trois "grands" groupes de Mathieu, Rendiconti di Math., 25 (1964), 166-184. Zbl0126.26303MR183785
47. [46] J. Tits - Le groupe de Janko d'ordre 604 800 , FG, 91-95. Zbl0206.31001
48. [47] J.A. Todd - A representation of the Mathieu group M24 as a collineation group, Annali di Math., 71 (1966), 193-238. Zbl0144.26204MR202854
49. [48] D.B. Wales - Generators of the Hall-Janko group as a subgroup of G2(4) , J. Algebra, 13 (1969), 513-516. Zbl0205.32404MR251133
50. [49] D.B. Wales - The uniqueness of the simple group of order 604,800 as a subgroup of SL(6,4) , J. Algebra, 11 (1969), 455-460. Zbl0165.34004MR236259
51. [50] E. Witt - Die 5-fach transitiven Gruppen von Mathieu, Abhandl. Math. Sem. Univ. Hamburg, 12 (1938), 256- 265. Zbl64.0963.01JFM64.0963.01
52. [51] E. Witt - Über Steinersche Systeme, Abhandl. Math. Sem. Univ. Hamburg, 12 (1938), 265-274. JFM64.0937.02
53. [52] S.K. Wong - On a new finite non abelian simple group of Janko, à paraître. Zbl0169.34401
54. [53] H. Zassenhaus - Über transitive Erweiterungen gewisser Gruppen aus Automorphismen endlicher mehrdimensionaler Geometrien, Math. Ann., 111 (1938), 748-759. Zbl0012.24802MR1513028JFM61.0100.03
55. [54] N. Bryce - Dissertation, Monash University, 1969 
56. [55] H.S.M. Coxeter - Twelve points in PG(5,3) with 95040 self-transformations. Proc. Roy. Soc. London, Ser. A, 247 (1958), 279-293. Zbl0082.36207MR120289
57. [56] J.H. Lindsey - On a projective representation of the Hall-Janko group, Bull. A. M. S., 74 (1968), 1094. Zbl0165.34301MR230812
58. [57] J. McKay and D. Wales - The multipliers of the simple groups of order 604,800 and 50,232,960 , à paraître. Zbl0215.10202
59. [58] D. Parrott - On the Mathieu groups M22 and M11 , J. Australian Math. Soc., 11 (1970), 69-81. Zbl0192.35503MR255669

1. Gérard Letac, Sur quelques aspects combinatoires du calcul des probabilités