Relative spinor class fields: a counterexample (Q999106)

In previous papers, the author proved the existence of a representation field for certain orders in central simple algebras \(A\) over an algebraic number field \(K\). In the paper under review, it is shown that for \((A:K)\geq 9\), a representation field exists for every order in \(A\) if and only if the spinor class field has exponent 2 over \(K\).