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About some split central simple algebras. (English) Zbl 1340.11089

Summary: In this paper we study certain quaternion algebras and symbol algebras which split.

MSC:

11R52 Quaternion and other division algebras: arithmetic, zeta functions
11A41 Primes
11R04 Algebraic numbers; rings of algebraic integers
11R18 Cyclotomic extensions
16K20 Finite-dimensional division rings
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