Advanced search
Publication Cover
Communications in Algebra Volume 46, 2018 - Issue 11
Submit an article Journal homepage
76
Views
3
CrossRef citations to date
0
Altmetric
Articles

Character tables of Sylow p-subgroups of the Steinberg triality groups 3D4(q3)

Yujiao SunSchool of Mathematics and Statistics, Beijing Institute of Technology, Beijing, P. R. ChinaCorrespondence[email protected]
Pages 5032-5052 | Received 19 Jun 2016, Published online: 19 Sep 2018

References

  • Carter, R. W. (1972). Simple Groups of Lie Type. New York: John Wiley & Sons.
  • Curtis, C. W., Reiner, I. (1981). Methods of Representation Theory: With Applications to Finite Groups and Orders, Vol. I. New York: John Wiley & Sons Inc.
  • Goodwin, S. M., Le, T., Magaard, K. (2017). The generic character table of a Sylow p-subgroup of a finite Chevalley group of type D4. Commun. Algebra 45(12):5158–5179.
  • Goodwin, S. M., Le, T., Magaard, K., Paolini, A. (2016). Constructing characters of Sylow p-subgroups of finite Chevalley groups. J. Algebra 468:395–439.
  • Goodwin, S. M., Mosch, P., Röhrle, G. (2014). Calculating conjugacy classes in Sylow p-subgroups of finite Chevalley groups of rank six and seven. LMS J. Comput. Math. 17(1):109–122.
  • Goodwin, S. M., Mosch, P., Röhrle, G. (2016). On the coadjoint orbits of maximal unipotent subgroups of reductive groups. Transformation Groups 21(2):399–426.
  • Goodwin, S. M., Röhrle, G. (2009). Calculating conjugacy classes in Sylow p-subgroups of finite Chevalley groups. J. Algebra 321(11):3321–3334.
  • Higman, G. (1960). Enumerating p-groups. I. Inequalities. Proc. London Math. Soc. (3) 10:24–30.
  • Himstedt, F., Le, T., Magaard, K. (2011). Characters of the Sylow p-subgroups of the Chevalley groups D4(pn). J. Algebra 332:414–427.
  • Himstedt, F., Le, T., Magaard, K. (2016). On the characters of the Sylow p-subgroups of untwisted Chevalley groups Yn(pa). LMS J. Comput. Math. 19(2):303–359.
  • Humphreys, J. E. (1978). Introduction to Lie Algebras and Representation Theory, second printing, revised. Volume 9 of Graduate Texts in Mathematics. New York, Berlin: Springer-Verlag.
  • Isaacs, I. M. (1995). Characters of groups associated with finite algebras. J. Algebra 177(3):708–730.
  • Isaacs, I. M. (2007). Counting characters of upper triangular groups. J. Algebra 315(2):698–719.
  • Jedlitschky, M. (2013). Decomposing André-Neto supercharacters of Sylow p-subgroups of Lie type D. Ph.D. Thesis. Universität Stuttgart.
  • Le, T. (2016). Irreducible characters of Sylow p-subgroups of the Steinberg triality groups 3D4(p3m). Bull. Iranian Math. Soc. 42(5):1279–1291.
  • Lehrer, G. I. (1974). Discrete series and the unipotent subgroup. Compositio Math. 28:9–19.
  • Pak, I., Soffer, A. (2015). On Higman’s k(Un(q)) conjecture. Preprint arXiv:1507.00411v1.
  • Sun, Y. (2017). Supercharacter theories for Sylow p-subgroups 3D4syl(q3), G2syl(q) and 2G2syl(32m+1). Ph.D. Thesis. Universität Stuttgart.
  • Vera-López, A., Arregi, J. M. (2003). Conjugacy classes in unitriangular matrices. Linear Algebra Appl. 370:85–124.

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.