On units in loop algebra \(F[M(\mathrm{Dih}(C_p^2),2)]\)
Let \(L=M(G,2)\) be a Moufang loop, \(F[L]\) be its loop algebra over a field \(F\) and \(J(F[L])\) be the Jacobson radical of \(F[L]\). The author described the unit loop of \(F[L]/J(F[L])\) and the structure of \(1+J(F[L])\), where \(L=M(G,2)\) is obtained from the generalized dihedral group \(G=\mathrm{Dih}(C_p^2)\), \(p>2\) is prime and \(F\) is a finite field of characteristic \(2\) containing a primitive \(p\)th root of unity.
scientific article; zbMATH DE number 6845415