On self-centralizing Sylow subgroups of order four

Rolf Brandl; Valeria Fedri; Luigi Serena

Rendiconti del Seminario Matematico della Università di Padova (1996)

  • Volume: 95, page 189-199
  • ISSN: 0041-8994

How to cite

top

Brandl, Rolf, Fedri, Valeria, and Serena, Luigi. "On self-centralizing Sylow subgroups of order four." Rendiconti del Seminario Matematico della Università di Padova 95 (1996): 189-199. <http://eudml.org/doc/108390>.

@article{Brandl1996,
author = {Brandl, Rolf, Fedri, Valeria, Serena, Luigi},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {finite non-solvable groups; self-centralizing Sylow subgroups},
language = {eng},
pages = {189-199},
publisher = {Seminario Matematico of the University of Padua},
title = {On self-centralizing Sylow subgroups of order four},
url = {http://eudml.org/doc/108390},
volume = {95},
year = {1996},
}

TY - JOUR
AU - Brandl, Rolf
AU - Fedri, Valeria
AU - Serena, Luigi
TI - On self-centralizing Sylow subgroups of order four
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1996
PB - Seminario Matematico of the University of Padua
VL - 95
SP - 189
EP - 199
LA - eng
KW - finite non-solvable groups; self-centralizing Sylow subgroups
UR - http://eudml.org/doc/108390
ER -

References

top
  1. [1] R. Brauer, Zur Darstellungstheorie der Gruppen endlicher Ordnung, Math. Z., 63 (1956), pp. 406-444. Zbl0093.03101MR75953
  2. [2] D. Gorenstein, Finite Groups, Harper and Row, New York (1968). Zbl0185.05701MR231903
  3. [3] D. Gorenstein - J.H. Walter, On finite groups with dihedral Sylow 2-subgroups, Illinois J. Math., 6 (1962), pp. 553-593. Zbl0126.05202MR142619
  4. [4] G. Higman, Odd Characterizations of finite simple groups, Lecture Notes, University of Michigan (1968). 
  5. [5] D.F. Holt - W. Plesken, A5-invariant 2-groups with no trivial sections, Quart. J. Math. Oxford (2), 37 (1986), pp. 39-47. Zbl0601.20022MR830628
  6. [6] B. Huppert, Endliche Gruppen I., Grundlehren der Mathematischen Wissenschaften, 134, Springer-Verlag, Berlin (1967). Zbl0217.07201MR224703
  7. [7] B. Huppert AND N. Blackburn, Finite Groups II, Grundlehren der Mathematischen Wissenschaften, 243, Springer-Verlag, Berlin, Heidelberg, New York (1982). Zbl0514.20002MR650245
  8. [8] I.M. Isaacs, Character Theory of Finite Groups, Academic Press, New York, San Francisco, London (1970). Zbl0337.20005MR460423
  9. [9] H. Kurzweil, Die Gruppe A5 als fixpunktfreie Automorphismengruppe, Ill. J. Math., 27 (1983), pp. 67-76. Zbl0522.20018MR684541
  10. [10] A.R. Prince, On 2-groups admitting A5 or A6 with an element of order 5 acting fixed point freely, J. of Algebra, 49 (1977), pp. 374-386. Zbl0374.20036MR457565
  11. [11] M. Suzuki, Group Theory I, Grundlehren der Mathematischen Wissenschaften, 247, Springer-Verlag, Berlin, Heidelberg, New York (1982). Zbl0472.20001MR648772
  12. [12] M. Suzuki, Group Theory II, Grundlehren der Mathematischen Wissenschaften, 248, Springer-Verlag, Berlin, Heidelberg, New York (1986). Zbl0586.20001MR815926
  13. [13] A. Turull, Fixed point free action with regular orbits, J. Reine Angew. Math., 371 (1986), pp. 67-91. Zbl0587.20017MR859320

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.