Splitting quaternion algebras defined over a finite field extension
Keyword(s):
We study systems of quadratic forms over fields and their isotropy over [Formula: see text]-extensions. We apply this to obtain particular splitting fields for quaternion algebras defined over a finite field extension. As a consequence we obtain that every central simple algebra of degree [Formula: see text] is split by a [Formula: see text]-extension of degree at most [Formula: see text].
1966 ◽
Vol 27
(2)
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pp. 625-642
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2018 ◽
Vol 2018
(745)
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pp. 41-58
2018 ◽
Vol 17
(12)
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pp. 1850240
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2017 ◽
Vol 154
(2)
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pp. 410-458
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2015 ◽
Vol 14
(04)
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pp. 1550048
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2018 ◽
Vol 222
(9)
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pp. 2773-2783
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1996 ◽
Vol 40
(4)
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pp. 353-363
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