Advanced search
Publication Cover
Experimental Mathematics Volume 30, 2021 - Issue 4
Submit an article Journal homepage
126
Views
1
CrossRef citations to date
0
Altmetric
Original Articles

Exact Factorizations of Sporadic Simple Groups

Ali Reza RahimipourDepartment of Mathematics, Faculty of Science, University of Qom, Qom, Islamic Republic of IranCorrespondence[email protected]
Pages 441-446 | Published online: 08 Jan 2019

References

  • [Abbott et al.] R. Abbott, J. Bray, S. Linton, S. Nickerson, S. Norton, R. Parker, I. Suleiman, J. Tripp, P. Walsh, and R. Wilson. “ATLAS of Finite Group Representations Version 3.” Available online (http://brauer.maths.qmul.ac.uk/Atlas/v3/).
  • [Conway et al. 85] J. H. Conway, R. T. Curtis, S. P. Norton, R. A. Parker, and R. A. Wilson. An ATLAS of Finite Groups. Oxford: Oxford University Press, 1985.
  • [Dixon and Mortimer 96] J. D. Dixon and B. Mortimer. Permutation Groups, Graduate Texts in Mathematics, 163. New York: Springer-Verlag, 1996.
  • [Gentchev 86a] T. R. Gentchev. “Factorizations of the Sporadic Simple Groups.” Arch. Math. (Basel) 47 (1986a), 97–102.
  • [Gentchev 86b] T. R. Gentchev. “Factorizations of the Groups of Lie Type of Lie Rank 1 or 2.” Arch. Math. (Basel) 47 (1986b), 493–499.
  • [Giudici 06] M. Giudici. “Factorisations of Sporadic Simple Groups.” J. Algebra 304:1 (2006), 311–323.
  • [González Vasco et al. 03] M. I. González Vasco, M. Rötteler, and R. Steinwandt. “On Minimal Length Factorizations of Finite Groups.” Exp. Math. 12:1 (2003), 1–12.
  • [Hering et al. 87] C. Hering, M. W. Liebeck, and J. Saxl. “The Factorizations of the Finite Exceptional Groups of LIE type.” J. Algebra 106:2 (1987), 517–527.
  • [Holmes 04] P. E. Holmes. “On Minimal Factorisations of Sporadic Groups.” Exp. Math. 13:4 (2004), 435–440.
  • [Lempken and van Trung 05] W. Lempken and T. van Trung. “On Minimal Logarithmic Signatures of Finite Groups.” Exp. Math. 14:3 (2005), 257–269.
  • [Liebeck et al. 90] M. W. Liebeck, C. E. Praeger, and J. Saxl. “The Maximal Factorizations of the Finite Simple Groups and Their Automorphism Groups.” Mem. Amer. Math. Soc. 86:432 (1990), iv+151 pp.
  • [Li and Xia 14] C. H. Li and B. Xia. “Factorizations of Almost Simple Groups with a Solvable Factor, and Cayley Graphs of Solvable Groups.” Preprint, arXiv:1408.0350v3, 2014.
  • [Itô 53] N. Itô. “On the Factorizations of the Linear Fractional Group LF(2,pn).” Acta Sci. Math. (Szeged) 15 (1953), 79–84.
  • [The GAP Team 14] The GAP Team. “GAP—Groups, Algorithms, and Programming, Version 4.7.5.” (http://www.gap-system.org), 2014.
  • [Rahimipour] A. R. Rahimipour. “Web Database of Exact Factorizations of Sporadic Simple Groups.” Available online (http://www.qom.ac.ir/rahimipour).
  • [Wiegold and Williamson 80] J. Wiegold and A. G. Williamson. “The Factorization of the Alternating and Symmetric Group.” Math. Z. 175 (1980), 171–179.

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.