Cyclic Algebras of Small Exponent

J.-P. Tignol
1983 Proceedings of the American Mathematical Society  
We prove that every cyclic algebra of exponent n and degree mn over a field containing a primitive nth root of unity is similar to a tensor product of at most m symbols of degree n.
doi:10.2307/2044587 fatcat:b2kszihezrcezbegkzrxawsxhe