Research Article
BibTex RIS Cite

On the Computation of Conjugation Classes of Elements of PGL(3, q)

Year 2022, , 69 - 74, 30.04.2022

Michael Braun

https://doi.org/10.36890/iejg.977878

Abstract

In this article an explicit list of representatives of all conjugacy classes of the projective linear group $\pgl(3,q)$ is computed with complexity $O(q^2)$.

Keywords

Conjugacy classes projective linear group group action

References

  • [1] Ball, S., Hirschfeld, J.W.P.: Bounds on (n; r)-Arcs and their Application to Linear Codes. Finite Fields and Their Applications. 3, 326–336 (2005).
  • [2] Braun, M.: New Lower Bounds on the Size of (n; r)-Arcs in PG(2; q). Journal of Combinatorial Designs. 27, 682-687 (2019).
  • [3] Hirschfeld, J.W.P., Storme, L.: The Packing Problem in Statistics, Coding Theory and Finite Projective Spaces: Update 2001, pages 201–246. Springer US, Boston, MA. (2001).
  • [4] MacDonald, I.G.: Numbers of Conjugacy Classes in Some Finite Classical Groups. Bulletin of the Australian Mathematical Society. 23, 23–48 (1981).
  • [5] Wall, G.E.: Conjugacy Classes in Projective and Special Linear Groups. Bulletin of the Australian Mathematical Society. 22, 339–364 (1980).

Year 2022, , 69 - 74, 30.04.2022

Michael Braun

https://doi.org/10.36890/iejg.977878

Abstract

References

  • [1] Ball, S., Hirschfeld, J.W.P.: Bounds on (n; r)-Arcs and their Application to Linear Codes. Finite Fields and Their Applications. 3, 326–336 (2005).
  • [2] Braun, M.: New Lower Bounds on the Size of (n; r)-Arcs in PG(2; q). Journal of Combinatorial Designs. 27, 682-687 (2019).
  • [3] Hirschfeld, J.W.P., Storme, L.: The Packing Problem in Statistics, Coding Theory and Finite Projective Spaces: Update 2001, pages 201–246. Springer US, Boston, MA. (2001).
  • [4] MacDonald, I.G.: Numbers of Conjugacy Classes in Some Finite Classical Groups. Bulletin of the Australian Mathematical Society. 23, 23–48 (1981).
  • [5] Wall, G.E.: Conjugacy Classes in Projective and Special Linear Groups. Bulletin of the Australian Mathematical Society. 22, 339–364 (1980).
There are 5 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Article
Authors

Michael Braun 0000-0001-9816-2216

Publication Date April 30, 2022
Acceptance Date September 8, 2021
Published in Issue Year 2022

Cite

APA Braun, M. (2022). On the Computation of Conjugation Classes of Elements of PGL(3, q). International Electronic Journal of Geometry, 15(1), 69-74. https://doi.org/10.36890/iejg.977878
AMA Braun M. On the Computation of Conjugation Classes of Elements of PGL(3, q). Int. Electron. J. Geom. April 2022;15(1):69-74. doi:10.36890/iejg.977878
Chicago Braun, Michael. “On the Computation of Conjugation Classes of Elements of PGL(3, Q)”. International Electronic Journal of Geometry 15, no. 1 (April 2022): 69-74. https://doi.org/10.36890/iejg.977878.
EndNote Braun M (April 1, 2022) On the Computation of Conjugation Classes of Elements of PGL(3, q). International Electronic Journal of Geometry 15 1 69–74.
IEEE M. Braun, “On the Computation of Conjugation Classes of Elements of PGL(3, q)”, Int. Electron. J. Geom., vol. 15, no. 1, pp. 69–74, 2022, doi: 10.36890/iejg.977878.
ISNAD Braun, Michael. “On the Computation of Conjugation Classes of Elements of PGL(3, Q)”. International Electronic Journal of Geometry 15/1 (April 2022), 69-74. https://doi.org/10.36890/iejg.977878.
JAMA Braun M. On the Computation of Conjugation Classes of Elements of PGL(3, q). Int. Electron. J. Geom. 2022;15:69–74.
MLA Braun, Michael. “On the Computation of Conjugation Classes of Elements of PGL(3, Q)”. International Electronic Journal of Geometry, vol. 15, no. 1, 2022, pp. 69-74, doi:10.36890/iejg.977878.
Vancouver Braun M. On the Computation of Conjugation Classes of Elements of PGL(3, q). Int. Electron. J. Geom. 2022;15(1):69-74.