Advanced search
Publication Cover
Communications in Algebra Volume 45, 2017 - Issue 8
Submit an article Journal homepage
129
Views
2
CrossRef citations to date
0
Altmetric
Original Articles

Characterization of finite groups by a bijection with a divisible property on the element orders

Seyyed Majid Jafarian AmiriDepartment of Mathematics, Faculty of Sciences, University of Zanjan, Zanjan, IranCorrespondence[email protected]
&
Mohsen AmiriDepartment of Mathematics, Faculty of Sciences, University of Zanjan, Zanjan, Iran
Pages 3396-3401 | Received 09 Jun 2015, Published online: 12 Jan 2017

References

  • Berkovich, Y., Janko, Z. (2008). Groups of Prime Power Order. Vol. 1. Berlin, New York: Walter de Gruyter.
  • Frobenius, G. (1895). Verallgemeinerung des Sylow’schen Satzes. Berliner Sitz. 981–993.
  • Gorenstein, D. (1968). Finite Groups. New York: Harper and Row.
  • Iiyori, N. (1993). A conjecture of Frobenius and the simple groups of Lie type. IV. J. Algebra 154(1):188–214.
  • Isaacs, I. M. (2008). Finite Group Theory. Providence, R. I.: American Mathematical Society.
  • Ladisch, F. Order-increasing bijection from arbitrary groups to cyclic groups. Available at: http://mathoverflow.net/a/107395.
  • Mazurov, V. D., Khukhro, E. I. (2014). The Kourovka Notebook. Unsolved Problems in Group Theory, 18th ed. Novosibirsk: Institute of Mathematics, Russian Academy of Sciences, Siberrian Division, arXiv:1401.0300v3 [math. GR].
  • The GAP Group., (2015). GAP-Groups, algorithms, and programming. version 4.7.8. Available at http://www.gap-system.org.

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:

Order Reprints Request Corporate Permissions

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:

Request Academic Permissions

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.

Related research

People also read lists articles that other readers of this article have read.

Recommended articles lists articles that we recommend and is powered by our AI driven recommendation engine.

Cited by lists all citing articles based on Crossref citations.
Articles with the Crossref icon will open in a new tab.