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.
@article{bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1229,
author = {Przemys\l aw Koprowski},
title = {Graded Hilbert-symbol equivalence of number fields},
journal = {Discussiones Mathematicae - General Algebra and Applications},
volume = {35},
year = {2015},
pages = {105-113},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1229}
}
Przemysław Koprowski. Graded Hilbert-symbol equivalence of number fields. Discussiones Mathematicae - General Algebra and Applications, Tome 35 (2015) pp. 105-113. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_7151_dmal_1229/
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