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ArticleOriginal scientific text

Title

Graded Hilbert-symbol equivalence of number fields

Authors 1

Affiliations

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

Abstract

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.

Keywords

ENG
Brauer group, Brauer-Wall group, Hilbert symbol equivalence, Witt equivalence, graded quaternion algebras

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Discussiones Mathematicae - General Algebra and Applications
2015/35/1
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Pages:
105-113
Main language of publication
English
Received
2015-05-07
Accepted
2015-06-08
Published
2015

DOI: 10.7151/dmgaa.1229

Exact and natural sciences