The Schur group of an abelian number field
Allen Herman, Gabriela Olteanu, Angel del Rio
TL;DR
This paper characterizes the maximum local index of Schur algebras over abelian number fields using global field information, unifying previous results by Janusz and Pendergrass.
Contribution
It provides a comprehensive characterization of the maximum r-local index of Schur algebras over abelian number fields, extending and unifying earlier work.
Findings
Maximum r-local index characterized in terms of global field data
Unified previous results of Janusz and Pendergrass
Applicable for any rational prime r
Abstract
We characterize the maximum -local index of a Schur algebra over an abelian number field in terms of global information determined by the field , for an arbitrary rational prime. This completes and unifies previous results of Janusz and Pendergrass.
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Taxonomy
TopicsAlgebraic Geometry and Number Theory · Advanced Algebra and Geometry · Advanced Topics in Algebra