Graded Hilbert-symbol equivalence of number fields

• Autorzy: Przemysław Koprowski
• Języki publikacji: EN

Abstrakty

EN

We present a new criterion for the existence of Hilbert-symbol equivalence of two number fields. In principle, we show that the system of local conditions for this equivalence may be expressed in terms of Clifford invariants in place of Hilbert-symbols, shifting the focus from Brauer groups to Brauer-Wall groups.

Słowa kluczowe

EN

Brauer group; Brauer-Wall group; Hilbert symbol equivalence; Witt equivalence; graded quaternion algebras

Kategorie tematyczne

• 11E12: Quadratic forms over global rings and fields
• 11E81: Algebraic theory of quadratic forms; Witt groups and rings

• Wydawca: Faculty of Mathematics, Computer Science and Econometrics, University of Zielona Góra
• Czasopismo: Discussiones Mathematicae - General Algebra and Applications
• Rocznik: 2015
• Tom: 35
• Numer: 1
• Strony: 105-113

Daty

wydano

2015

otrzymano

2015-05-07

poprawiono

2015-06-08

Twórcy

autor

Przemysław Koprowski

• Faculty of Mathematics, University of Silesia, ul. Bankowa 14, 40-007 Katowice, Poland

Bibliografia

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Identyfikatory

DOI

10.7151/dmgaa.1229