The prime divisors of the period and index of a Brauer class

• Autores: Benjamin Antieau, Ben Williams
• Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 219, Nº 6 (June 2015), 2015, págs. 2218-2224
• Idioma: inglés
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• Resumen

  • We show that in locally-ringed connected topoi the primes dividing the period and index of a Brauer class coincide. The result applies in particular to Brauer classes on connected schemes, algebraic stacks, topological spaces and to the projective representation theory of profinite groups.