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Bicyclic units in finite loop algebra

Year: 2026
Type: article
Abstract: Let $L=M(D_{2p},2)$ be the Moufang loop obtained from the dihedral group $D_{2p}$ of order $2p$, where $p$ is a prime number, and let $F$ be a finite field of characteristic $2$. In this article, we determine the bicyclic units in the loop algebra $F[L]$.
Author: Swati Sidana
Language: English
Open Access status: diamond
OpenAlex ID: W7210276510
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Cites: 4
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