The Schur group of an abelian number field

• Autores: Allen Herman, Gabriela Olteanu, Ángel del Río Mateos
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 213, Nº 1, 2009, págs. 22-33
• Idioma: inglés
• DOI: 10.1016/j.jpaa.2008.05.002
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• Resumen

  • 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 an arbitrary rational prime, r. This completes and unifies previous results of Janusz in [G.J. Janusz, The Schur group of an algebraic number field, Ann. of Math. (2) 103 (1976) 253�281] and Pendergrass in [J.W. Pendergrass, The 2-part of the Schur group, J. Algebra 41 (1976) 422�438].