English

The Schur group of an abelian number field

Representation Theory 2007-10-05 v1 Rings and Algebras

Abstract

We characterize the maximum rr-local index of a Schur algebra over an abelian number field KK in terms of global information determined by the field KK, for rr an arbitrary rational prime. This completes and unifies previous results of Janusz and Pendergrass.

Keywords

Cite

@article{arxiv.0710.1026,
  title  = {The Schur group of an abelian number field},
  author = {Allen Herman and Gabriela Olteanu and Angel del Rio},
  journal= {arXiv preprint arXiv:0710.1026},
  year   = {2007}
}

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15 pages