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Journals / International Electronic Journal of Algebra / 2021 / Cilt: 29 - Sayı: 29

THE GROUP OF UNITS OF GROUP ALGEBRAS OF GROUPS $D_{30}$ AND $C_3 \times D_{10}$ OVER A FINITE FIELD OF CHARACTERISTIC $3$

Meena SAHAI
Sheere Farhat ANSARI
Pages
165–174
Publication Date
2021-01-05
DOI
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AI Summary & Key Takeaways

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

In this article, we give the structure of $U(FD_{30})$ and $U(F(C_3 \times D_{10}))$ for $p=3$.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:Let $F$ be a finite field of characteristic $p$.
📊
Key Findings & Data:There are three non-isomorphic non-abelian groups of order $30$.
💡
Conclusion & Impact:In this article, we give the structure of $U(FD_{30})$ and $U(F(C_3 \times D_{10}))$ for $p=3$.
🔬Design:Research Article
📍Scope:2018 Verileri
⚙️Variables:Group ring · unit group · dihedral group

Abstract

Let $F$ be a finite field of characteristic $p$. There are three non-isomorphic non-abelian groups of order $30$. The structure of $U(F(C_5 \times D_6))$ for $p=3$ is given in [J. Gildea and R. Taylor, Int. Electron. J. Algebra, 24 (2018), 62-67]. In this article, we give the structure of $U(FD_{30})$ and $U(F(C_3 \times D_{10}))$ for $p=3$.

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Cite This Article

SAHAI, M., ANSARI, S. F. (2021). THE GROUP OF UNITS OF GROUP ALGEBRAS OF GROUPS $D_{30}$ AND $C_3 \times D_{10}$ OVER A FINITE FIELD OF CHARACTERISTIC $3$. International Electronic Journal of Algebra, Cilt: 29 - Sayı: 29, 165–174. https://ajindex.com/articles/832242

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