Finite groups with a standard component of type L 3 ( 4 ) , - I

Cheng Kai-Nah; Dieter Held

Rendiconti del Seminario Matematico della Università di Padova (1981)

  • Volume: 65, page 59-75
  • ISSN: 0041-8994

How to cite

top

Kai-Nah, Cheng, and Held, Dieter. "Finite groups with a standard component of type $L_3(4)$, - I." Rendiconti del Seminario Matematico della Università di Padova 65 (1981): 59-75. <http://eudml.org/doc/107829>.

@article{Kai1981,
author = {Kai-Nah, Cheng, Held, Dieter},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {finite simple group; standard subgroup; 2-rank; sporadic simple group; Schur multiplier; standard component problem},
language = {eng},
pages = {59-75},
publisher = {Seminario Matematico of the University of Padua},
title = {Finite groups with a standard component of type $L_3(4)$, - I},
url = {http://eudml.org/doc/107829},
volume = {65},
year = {1981},
}

TY - JOUR
AU - Kai-Nah, Cheng
AU - Held, Dieter
TI - Finite groups with a standard component of type $L_3(4)$, - I
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1981
PB - Seminario Matematico of the University of Padua
VL - 65
SP - 59
EP - 75
LA - eng
KW - finite simple group; standard subgroup; 2-rank; sporadic simple group; Schur multiplier; standard component problem
UR - http://eudml.org/doc/107829
ER -

References

top
  1. [1] M. Aschbacher, On finite groups of component type, Ill. J. M., 19 (1975), pp. 87-116. Zbl0299.20013MR376843
  2. [2] B. Beisiegel, Über einfache, endliche Gruppen mit Sylow-2-Gruppen der Ordung höchstens 210, Dissertation, Mainz University, 1975. 
  3. [3] M. Deckers, On groups related to Held's simple group, Arch. der Math., 25 (1974), pp. 23-28. Zbl0292.20012MR357581
  4. [4] G. Glauberman, Central elements in core-free groups, J. Alg., 4 (1966), pp. 403-420. Zbl0145.02802MR202822
  5. [5] D.M. Goldschmidt, 2-Fusion in finite groups, Ann. of Math., 99 (1974), pp. 70-117. Zbl0276.20011MR335627
  6. [6] D. Gorenstein, Finite Groups, Harper and Row, New York, 1968. Zbl0185.05701MR231903
  7. [7] R. Griess, Schur multipliers of finite simple groups of Lie type, Trans. A.M.S., 183 (1973), pp. 355-421. Zbl0297.20023MR338148
  8. [8] D. Held, The simple groups related to M24, J. Alg., 13 (1969), pp. 253-296. Zbl0182.04302MR249500
  9. [9] B. Huppert, Endliche Gruppen, I, Springer, Berlin, New York, 1967. Zbl0217.07201MR224703
  10. [10] A. Reifart, A characterization of the sporadic simple group of Suzuki, J. Alg., 33 (1975), pp. 288-305. Zbl0316.20008MR374258
  11. [11] I. Schur, Untersuchung über die Darstellungen der endlichen Gruppen durch gebrochene lineare Substitutionem, J. Math., 132 (1907), pp. 85-137. Zbl38.0174.02JFM38.0174.02
  12. [12] R. Steinberg, Automorphisms of finite linear groups, Can. J. Math., 12 (1960), pp. 606-615. Zbl0097.01703MR121427

NotesEmbed ?

top

You must be logged in to post comments.

To embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.

Only the controls for the widget will be shown in your chosen language. Notes will be shown in their authored language.

Tells the widget how many notes to show per page. You can cycle through additional notes using the next and previous controls.

    
                

                
Note: Best practice suggests putting the JavaScript code just before the closing </body> tag.