A block-theory-free characterization of M 24

D. Held; J. Hrabě de Angelis

Rendiconti del Seminario Matematico della Università di Padova (1989)

  • Volume: 82, page 133-150
  • ISSN: 0041-8994

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Held, D., and Hrabě de Angelis, J.. "A block-theory-free characterization of $M_{24}$." Rendiconti del Seminario Matematico della Università di Padova 82 (1989): 133-150. <http://eudml.org/doc/108153>.

@article{Held1989,
author = {Held, D., Hrabě de Angelis, J.},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {simple group ; finite simple group; central involution; centralizer; local structure; Thompson group order formula; Todd system; generators; relations},
language = {eng},
pages = {133-150},
publisher = {Seminario Matematico of the University of Padua},
title = {A block-theory-free characterization of $M_\{24\}$},
url = {http://eudml.org/doc/108153},
volume = {82},
year = {1989},
}

TY - JOUR
AU - Held, D.
AU - Hrabě de Angelis, J.
TI - A block-theory-free characterization of $M_{24}$
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1989
PB - Seminario Matematico of the University of Padua
VL - 82
SP - 133
EP - 150
LA - eng
KW - simple group ; finite simple group; central involution; centralizer; local structure; Thompson group order formula; Todd system; generators; relations
UR - http://eudml.org/doc/108153
ER -

References

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  1. [1] B. Beisiegel, Über endliche einfache Gruppen mit Sylow 2-Untergruppen der Ordnung höchstens 210, Commun. Algebra, 5 (1977), pp. 113-170. Zbl0361.20025MR424926
  2. [2] D. Gorenstein, Finite Groups, Harper and Row Publishers, New York-Evanston -London (1968). Zbl0185.05701MR231903
  3. [3] D. Gorenstein, Finite Simple Groups - An Introduction to their Classification, Plenum Press, New York-London (1982). Zbl0483.20008MR698782
  4. [4] D. Gorenstein - J.H. Walter, On finite groups with dihedral Sylow 2-subgroups, Ill. J. Math., 6 (1962), pp. 553-593. Zbl0126.05202MR142619
  5. [5] D. Held, The simple groups related to M24, J. Algebra, 13 (2) (1969), pp. 253-296. Zbl0182.04302MR249500
  6. [6] D. Held, A characterization of the alternating groups of degrees eight and nine, J. Algebra, 7 (2) (1967), pp. 218-237. Zbl0189.02501MR218444
  7. [7] Z. Janko, A characterization of the Mathieu simple groups - I, II, J. Algebra, 9 (1968), pp. 1-19, 20-41. Zbl0159.03101MR229710
  8. [8] R.G. Stanton, The Mathieu-groups, Can. J. Math., 3 (1951), pp. 164-174. Zbl0042.25601MR40304
  9. [9] V. Stingl, Endliche, einfache Component-Type-Gruppen, deren Ordnung nicht durch 211 geteilt wird, Dissertation, Mainz (1976). 
  10. [10] J. Tits, Théorème de Bruhat et sous-groupes paraboliques, C. R. Acad. Sci. Paris, 254 (1962), pp. 2910-2912. Zbl0105.02201MR138706
  11. [11] J.A. Todd, Abstract definitions for the Mathieu groups, Quart. J. Math. Oxford, (2), 21 (1970), pp. 421-424. Zbl0205.03901MR272878

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