The Schur group of an abelian number field

2007/10/04 by Allen Herman, Herman, Allen, Gabriela Olteanu +3
Mathematics · #12G05 #16K50 #16S35 #FOS: Mathematics #Representation Theory (math.RT) #Rings and Algebras (math.RA) #math.RA #math.RT #msc:12G05 #msc:16K50 #msc:16S35

paper · pdf · doi:10.48550/arxiv.0710.1026

15 pages

arxiv created 2007/10/04 · arxiv updated 2009/12/01

Abstract

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 rational prime. This completes and unifies previous results of Janusz and Pendergrass.

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