The prime divisors of the period and index of a Brauer class
classification
🧮 math.AG
keywords
brauerclassconnectedindexperiodalgebraicappliesclasses
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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.
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