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1. Quartic polynomials and the Hasse norm theorem modulo squares.

Author

Sivatski, A.S.

Subjects
*FIELD extensions (Mathematics), *POLYNOMIALS, *QUARTIC equations, *HASSE diagrams, *MATRIX norms, *ALGEBRAIC fields
Abstract

Let F be a field, char F ≠ 2 , L / F a quartic field extension. Define by G L / F the group of elements r ∈ F ⁎ such that D ∪ ( r ) = 0 for any regular field extension K / F and any D ∈ Br 2 ( K L / K ) . We show that G L / F = F ⁎ 2 N L / F L ⁎ . As a consequence we prove that the Hasse norm theorem modulo squares holds for L / F . [ABSTRACT FROM AUTHOR]

Published
2016
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