On the maximal subgroups of the Mathieu groups I: M 24

Rudy J. List

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1977)

  • Volume: 62, Issue: 4, page 432-438
  • ISSN: 0392-7881

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List, Rudy J.. "On the maximal subgroups of the Mathieu groups I: $M_{24}$." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 62.4 (1977): 432-438. <http://eudml.org/doc/290200>.

@article{List1977,
author = {List, Rudy J.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {4},
number = {4},
pages = {432-438},
publisher = {Accademia Nazionale dei Lincei},
title = {On the maximal subgroups of the Mathieu groups I: $M_\{24\}$},
url = {http://eudml.org/doc/290200},
volume = {62},
year = {1977},
}

TY - JOUR
AU - List, Rudy J.
TI - On the maximal subgroups of the Mathieu groups I: $M_{24}$
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1977/4//
PB - Accademia Nazionale dei Lincei
VL - 62
IS - 4
SP - 432
EP - 438
LA - eng
UR - http://eudml.org/doc/290200
ER -

References

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  1. BURNSIDE, W. (1955) - Theory of groups of finite order, Second edition, (reprinted: Dover Publications, New York). Zbl0064.25105
  2. CARMICHAEL, R. D. (1937) - Introduction to the theory of groups of finite order, Ginn, Boston, Mass.. Zbl0019.19702
  3. CHOI, C. (1967) - The maximal subgroups of M 24 , Ph. D. thesis, University of Michigan. Zbl0242.20010
  4. CHOI, C. (1972) - On subgroups of M 24 . I. Stabilizers of subsets, «Trans. Amer. Math. Soc.», 167, 1-27. Zbl0242.20009
  5. CHOI, C. (1972) - On subgroups of M 24 . II. The maximal subgroups of M 24 , «Trans. Amer. Math. Soc.» 167, 29-47. Zbl0242.20010
  6. CONWAY, J. H. (1971) Three lectures on exceptional simple groups, Finite Simple Groups, ed., M. B. Powell and G. Higman, Academic Press, 215-247. 
  7. COXETER, H. and MOSER, W. (1964) - Generators and relations for discrete groups, «Ergeb. Math.» 14 (2) edit. Berlin: Springer. 
  8. DICKSON, L. E. (1958) - Linear Groups with an exposition of the Galois field theory (reprinted: Dover Publications, New York). Zbl0082.24901
  9. FROBENIUS, G. (1904) - Über die Charaktere der mehrfach transitiven Gruppen, Berliner, Ber., 558-571. Zbl35.0154.02
  10. HUPPERT, B. (1967) - Endliche Gruppen I, Springer-Verlag. Zbl0217.07201
  11. SIMS, C. C. (1970) - Computational methods in the study of permutation groups, Computational Problems in Abstract Algebra, ed., J. Leech, Pergamon Press, 169-183. 
  12. TODD, J. A. (1966) - A representation of the Mathieu group M 24 as a collimation group, «Annali di Mat.», ser. IV 71. 
  13. WIELANDT, H. (1964) - Finite Permutation Groups, Academic Press. Zbl0138.02501
  14. WITT, E. (1938) — Die 5-fach transitiven Gruppen von Mathieu, «Abhandl. Math. Seminar Hamburg. Univ.», 12, 256-264. Zbl0019.25105
  15. WITT, E. (1938) - Über Steinersche Systeme, «Abhandl. Math. Seminar Hamburg. Univ.», 12, 265-275. Zbl0019.25106

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