44
Views
2
CrossRef citations to date
0
Altmetric
Research Article

Characters of 2-layered Heisenberg groups

ORCID Icon
Pages 3633-3642 | Received 01 Sep 2020, Accepted 17 Oct 2020, Published online: 18 Nov 2020

References

  • Isaacs IM. Characters of groups associated with finite algebras. J Algebra. 1995;177:708–730.
  • Higman G. Enumerating p-groups. I. Inequalities. Proc LMS. 1960;3:24–30.
  • Lehrer GI. Discrete series and the unipotent subgroup. Compos Math. 1974;28:9–19.
  • Pak I, Soffer A. Higman's k(Un(Fq)) conjecture. https://arxiv.org/abs/1507.00411.
  • Marjoram M. Irreducible characters of Sylow p-subgroups of classical groups [PhD thesis]. Dublin: National University of Ireland; 1997.
  • Marjoram M. Irreducible characters of small degree of the unitriangular group. Irish Math Soc Bull. 1999;42:21–31.
  • Vera-Lopez A, Arregi JM. Conjugacy classes in unitriangular matrices. Linear Algebra Appl. 2003;370:85–124.
  • Sangroniz J. Characters of algebra groups and unitriangular groups. Finite Groups 2003. Berlin: Walter de Gruyter; 2004. p. 335–349.
  • Alperin J. Unipotent conjugacy in general linear groups. Comm Algebra. 2006;34:889–891.
  • Isaacs IM. Counting characters of upper triangular groups. J Algebra. 2007;315:698–719.
  • Diaconis P, Isaacs IM. Supercharacters and superclasses for algebra groups. Trans AMS. 2008;360:2359–2393.
  • Diaconis P, Thiem N. Supercharacter formulas for pattern groups. Trans Amer Math Soc. 2009;361:3501.
  • Sangroniz J. Irreducible characters of large degree of sylowp-subgroups of classical groups. J Algebra. 2009;321:1480–1496.
  • Le T. Counting irreducible representations of large degree of the upper triangular groups. J Algebra. 2010;324(8):1803–1817.
  • Marberg E. Superclasses and supercharacters of normal pattern subgroups of the unipotent upper triangular matrix group. J Algebraic Combin. 2012;35(1):61–92.
  • Boyarchenko M. Representations of unipotent groups over local fields and Gutkin's conjecture. Math Res Lett. 2011;18(3):539–557.
  • Evseev A. Reduction for characters of finite algebra groups. J Algebra. 2011;325:321–351.
  • Ginzburg D. On the representations of q unipotent groups over a finite field. Israel J Math. 2011;181:387–422.
  • Loukaki M. Counting characters of small degree in upper triangular groups. J Pure Appl Algebra. 2011;215(2):154–160.
  • Marberg E. Combinatorial methods of character enumeration for the unitriangular group. J Algebra. 2011;345:295–323.
  • Le T, Magaard K. Representations of unitriangular groups. In: Sastry N, editor. Buildings, finite geometries and groups. Springer Proceedings in Mathematics. Vol 10. New York: Springer; 2012. p. 163–174.
  • Kirillov AA. Merits and demerits of the orbit method. Bull Amer Math Soc. 1999;36:433–489.
  • Serre JP. Linear representation of finite groups. 5th ed. Vol. 42, Graduate texts in mathematics. Berlin: Springer-Verlag/Heidelberg: GmbH & Co. KG; 1977.

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.