Dergiler / International Electronic Journal of Geometry / 2026 / Volume: 15 Issue: 1

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

Michael Braun(Hochschule Darmstadt)0000-0001-9816-2216
Sayfa
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Yayın Tarihi
2022-04-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:In this article an explicit list of representatives of all conjugacy classes of the projective linear group $\pgl(3,q)$ is computed with complexity $O(q^2)$.
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Temel Bulgular & Veri:In this article an explicit list of representatives of all conjugacy classes of the projective linear group $\pgl(3,q)$ is computed with complexity $O(q^2)$.
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Sonuç & Katkı:In this article an explicit list of representatives of all conjugacy classes of the projective linear group $\pgl(3,q)$ is computed with complexity $O(q^2)$.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Conjugacy classes · projective linear group · group action

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 $O(q^2)$.

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Bu Makaleye Atıf Yap

Braun, M. (2022). On the Computation of Conjugation Classes of Elements of PGL(3, q). International Electronic Journal of Geometry, Volume: 15 Issue: 1. https://doi.org/10.36890/iejg.977878

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Kaynakça (5)

  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).