Sivatski A.S.: Central simple algebras of prime exponent and divided power operations.

Submission: 2012, Jul 13

Let p be a prime, F a field of characteristic different from p. We prove triviality of the divided power operations on central simple cyclic algebras of exponent p over F.

2010 Mathematics Subject Classification: 16K50, 19D45.

Keywords and Phrases: Cyclic algebras, Milnor K-groups, Divided power operations, Norm residue isomorphism.

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