The Schur group of an abelian number field
classification
🧮 math.RT
math.RA
keywords
fieldabeliannumberschuralgebraarbitrarycharacterizecompletes
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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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