SEMISIMPLE GROUP (AND LOOP) ALGEBRAS OVER FINITE FIELDS
We determine the structure of the semisimple group algebra of certain groups over the rationals and over those finite fields that pro- duce the fewest number of simple components. We use this information to obtain similar information about the loop algebras of indecomposable RA loops and observe that the isomorphism problem has the same neg- ative answer for alternative loop algebras over all fields of characteristic not 2.