199
Views
13
CrossRef citations to date
0
Altmetric
Original Articles

Sum of Element Orders of Maximal Subgroups of the Symmetric Group

&
Pages 770-778 | Received 21 Feb 2010, Published online: 14 Feb 2012

REFERENCES

  • Amiri , H. , Jafarian Amiri , S. M. , Isaacs , I. M. ( 2009 ). Sums of element orders in finite groups . Commun. Alg. 37 ( 9 ): 2978 – 2980 .
  • Amiri , H. , Jafarian Amiri , S. M. ( 2011 ). Sum of element orders on finite groups of the same order . Journal of Algebra and Its Applications 10 ( 2 ): 187 – 190 .
  • Bochert , A. ( 1889 ). Über die Transitivitätsgrenze der Substitutionengruppen, welche die Alternierende ihres Grades nicht einhalten . Math. Ann. 33 : 572 – 583 .
  • Dixon , J. D. , Mortimer , B. ( 1996 ). Permutation Groups . Graduate Texts in Mathematics , Vol. 163. New York : Springer .
  • Landau , E. ( 1903 ). Uber die maximalordnung der permutationen gegebenen Grades . Archiv. der Math. und Phys., Sér 3 ( 5 ): 92 – 103 .
  • Maróti , A. ( 2002 ). On the orders of primitive groups . J. Algebra 258 ( 2 ): 631 – 640 .
  • Massias , J. P. ( 1984 ). Majoration explicite de l'ordre maximum d'un élément du groupe symétrique . Ann. Fac. Sci. Toulouse Math. 6 : 269 – 280 .
  • Communicated by A. Turull.

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.