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Journals / International Electronic Journal of Algebra / 2026 / Volume: 40 Issue: 40

A note on the structure of $\frac{\mathbb{F}_qS_5}{J(\mathbb{F}_qS_5)}$

Pramod Kanwar(Ohio University-Zanesville)
Yogesh Kumar(Indian Institute of Technology Delhi)
Rajendra Kumar Sharma(Indian Institute of Technology Delhi)
Pages
—
Publication Date
2026-07-16
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AI Summary & Key Takeaways

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

A complete algebraic structure of $\frac{\mathbb{F}_qS_5}{J(\mathbb{F}_qS_5)}$, where $\mathbb F_q=\mathbb F_{p^n}$ is a finite field with characteristic $p$ (a prime) and $J(\mathbb{F}_qS_5)$ is the Jacobson radical of the group algebra $\mathbb{F}_qS_5$ is given.

📌 3 Key Takeaways

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Objective & Hypothesis:A complete algebraic structure of $\frac{\mathbb{F}_qS_5}{J(\mathbb{F}_qS_5)}$, where $\mathbb F_q=\mathbb F_{p^n}$ is a finite field with characteristic $p$ (a prime) and $J(\mathbb{F}_qS_5)$ is the Jacobson radical of the group algebra $\mathbb{F}_qS_5$ is given.
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Key Findings & Data:A complete algebraic structure of $\frac{\mathbb{F}_qS_5}{J(\mathbb{F}_qS_5)}$, where $\mathbb F_q=\mathbb F_{p^n}$ is a finite field with characteristic $p$ (a prime) and $J(\mathbb{F}_qS_5)$ is the Jacobson radical of the group algebra $\mathbb{F}_qS_5$ is given.
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Conclusion & Impact:A complete algebraic structure of $\frac{\mathbb{F}_qS_5}{J(\mathbb{F}_qS_5)}$, where $\mathbb F_q=\mathbb F_{p^n}$ is a finite field with characteristic $p$ (a prime) and $J(\mathbb{F}_qS_5)$ is the Jacobson radical of the group algebra $\mathbb{F}_qS_5$ is given.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Group algebra · Wedderburn decomposition · unit group

Abstract

A complete algebraic structure of $\frac{\mathbb{F}_qS_5}{J(\mathbb{F}_qS_5)}$, where $\mathbb F_q=\mathbb F_{p^n}$ is a finite field with characteristic $p$ (a prime) and $J(\mathbb{F}_qS_5)$ is the Jacobson radical of the group algebra $\mathbb{F}_qS_5$ is given.

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Cite This Article

Kanwar, P., Kumar, Y., Sharma, R. K. (2026). A note on the structure of $\frac{\mathbb{F}_qS_5}{J(\mathbb{F}_qS_5)}$. International Electronic Journal of Algebra, Volume: 40 Issue: 40. https://doi.org/10.24330/ieja.1823884

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