Algebraic analysis identifies bicyclic units in loop algebras of dihedral Moufang loops over characteristic-two fields, highlighting unit group structures in non-associative systems.
Let L=M(D₂ₚ,2) be the Moufang loop obtained from the dihedral group D₂ₚ 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 $F[L]$.
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Swati Sidana (2026) studied this question.
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