Allen Herman

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math.RT2007

The gap between the Schur group and the subgroup generated by cyclic cyclotomic algebras

Allen Herman, Gabriela Olteanu, Angel del Rio

Let $K$ be an abelian extension of the rationals. Let $S (K)$ be the Schur group of $K$ and let $C C (K)$ be the subgroup of $S (K)$ generated by classes containing cyclic cyclotomic a…

math.RT2007

The Schur group of an abelian number field

Allen Herman, Gabriela Olteanu, Angel del Rio

We characterize the maximum $r$ -local index of a Schur algebra over an abelian number field $K$ in terms of global information determined by the field $K$ , for $r$ an arbitrary rat…