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Journals / Journal of Algebra Combinatorics Discrete Structures and Applications / 2016 / Cilt: 3 - Sayı: 1

The unit group of group algebra $F_qSL(2;Z_3)$

Swati MAHESHWARİ
R. K. SHARMA
Pages
1–6
Publication Date
2016-01-11
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

In this note we establish the structure of the unit group of $\F_q SL(2,\Z_3)$.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Let $\F_q$ be a finite field of characteristic $p$ having $q$ elements, where $q = p^k$ and $p\ge 5$.
📊
Key Findings & Data:Let $ SL(2,\Z_3)$ be the special linear group of $2\times2$ matrices with determinant $1$ over $\Z_3$.
💡
Conclusion & Impact:In this note we establish the structure of the unit group of $\F_q SL(2,\Z_3)$.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Group algebra · Unit group · Finite field

Abstract

Let $\F_q$ be a finite field of characteristic $p$ having $q$ elements, where $q = p^k$ and $p\ge 5$. Let $ SL(2,\Z_3)$ be the special linear group of $2\times2$ matrices with determinant $1$ over $\Z_3$. In this note we establish the structure of the unit group of $\F_q SL(2,\Z_3)$.

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Cite This Article

MAHESHWARİ, S., SHARMA, R. K. (2016). The unit group of group algebra $F_qSL(2;Z_3)$. Journal of Algebra Combinatorics Discrete Structures and Applications, Cilt: 3 - Sayı: 1, 1–6. https://ajindex.com/articles/861681

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