Geodesic
More About the Mathieu Group M22
Canadian journal of mathematics, Tome 28 (1976) no. 5, pp. 929-937

Voir la notice de l'article provenant de la source Cambridge University Press

We assume familiarity with the notation and contents of Conway [2] and Edge [3]. That the Mathieu group is a subgroup of the simple group PSU (6, 22) appears to have been first recognized by Conway and is consequent upon his identification of ·222 with PSU (6, 22). Although we know of no proof of this identification in the literature, several proofs exist in the folklore of the subject: for example, N. Patterson showed one of the authors a proof that depends on ·222 being a Fischer group, hence on consideration of order, isomorphic to PSU (6, 22). There is another proof which relies on McLaughlin's work on rank three groups. 
Jónsson, W.; McKay, J. More About the Mathieu Group M22. Canadian journal of mathematics, Tome 28 (1976) no. 5, pp. 929-937. doi: 10.4153/CJM-1976-090-x
@article{10_4153_CJM_1976_090_x,
     author = {J\'onsson, W. and McKay, J.},
     title = {More {About} the {Mathieu} {Group} {M22}},
     journal = {Canadian journal of mathematics},
     pages = {929--937},
     year = {1976},
     volume = {28},
     number = {5},
     doi = {10.4153/CJM-1976-090-x},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-090-x/}
}
TY  - JOUR
AU  - Jónsson, W.
AU  - McKay, J.
TI  - More About the Mathieu Group M22
JO  - Canadian journal of mathematics
PY  - 1976
SP  - 929
EP  - 937
VL  - 28
IS  - 5
UR  - http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-090-x/
DO  - 10.4153/CJM-1976-090-x
ID  - 10_4153_CJM_1976_090_x
ER  - 
%0 Journal Article
%A Jónsson, W.
%A McKay, J.
%T More About the Mathieu Group M22
%J Canadian journal of mathematics
%D 1976
%P 929-937
%V 28
%N 5
%U http://geodesic.mathdoc.fr/articles/10.4153/CJM-1976-090-x/
%R 10.4153/CJM-1976-090-x
%F 10_4153_CJM_1976_090_x

[1] 1. Burgoyne, N. and Fong, P., The Schur multipliers of the Mathieu groups, Nagoya J. Math. 27 (1966), 733-745, and 81 (1968), 297–304. Google Scholar

[2] 2. Conway, J. H., Three lectures on exceptional groups, In Finite Simple Groups, edited by Powell and Higman (Academic Press, 1971). Google Scholar

[3] 3. Edge, W. L., Permutation representations of a group of order 9,196,830,720. J. Lond. Math. Soc. (2) 2 (1970), 753–762. Google Scholar

[4] 4. Edge, W. L., Some implications of the geometry of the 21-point plane, Math. Z. 87 (1965), 348–362. Google Scholar

[5] 5. Garbe, D. and Mennicke, J. L., Some remarks on the Mathieu groups, Canad. Math. Bull. 7 (1964), 201–212. Google Scholar

[6] 6. James, G. D., The modular representations of the Mathieu groups, J. Alg. 27 (1973), 57–111. Google Scholar

[7] 7. Lindsey, J. H., On a six-dimensional projective representation of PSU4(3), Pac. J. Math. 36 (1971), 407–425. Google Scholar

[8] 8. Liineberg, H., Transitive Erweiterungen endlicher Per mutations-gruppen, No. 84, Springer- Verlag Yellow Notes (1969). Google Scholar

[9] 9. Todd, J. A., A representation of the Mathieu group M24-fl collineation group, Ann. di Mat. 71 (1966), 199–238. Google Scholar

[10] 10. Todd, J. A., Abstract definitions for the Mathieu groups, Quart. J. Math. (2) 21 (1970), 421–424. Google Scholar

Cité par Sources :