Graded Hilbert-symbol equivalence of number fields

Przemysław Koprowski

Discussiones Mathematicae - General Algebra and Applications (2015)

  • Volume: 35, Issue: 1, page 105-113
  • ISSN: 1509-9415

Abstract

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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.

How to cite

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Przemysław Koprowski. "Graded Hilbert-symbol equivalence of number fields." Discussiones Mathematicae - General Algebra and Applications 35.1 (2015): 105-113. <http://eudml.org/doc/270351>.

@article{PrzemysławKoprowski2015,
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.},
author = {Przemysław Koprowski},
journal = {Discussiones Mathematicae - General Algebra and Applications},
keywords = {Brauer group; Brauer-Wall group; Hilbert symbol equivalence; Witt equivalence; graded quaternion algebras},
language = {eng},
number = {1},
pages = {105-113},
title = {Graded Hilbert-symbol equivalence of number fields},
url = {http://eudml.org/doc/270351},
volume = {35},
year = {2015},
}

TY - JOUR
AU - Przemysław Koprowski
TI - Graded Hilbert-symbol equivalence of number fields
JO - Discussiones Mathematicae - General Algebra and Applications
PY - 2015
VL - 35
IS - 1
SP - 105
EP - 113
AB - 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.
LA - eng
KW - Brauer group; Brauer-Wall group; Hilbert symbol equivalence; Witt equivalence; graded quaternion algebras
UR - http://eudml.org/doc/270351
ER -

References

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