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Quadratic forms and Linkage of Quaternion Algebras

Published online by Cambridge University Press:  20 November 2018

Vatsala Krishnamani  and
Joseph Yucas
Vatsala Krishnamani
Affiliation:
Southern illinois University, CarbondaleIL 62901
Joseph Yucas
Affiliation:
Southern illinois University, CarbondaleIL 62901
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Abstract

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A field F satisfies n-linkage on a subset of Ḟ if whenever the quaternion algebras

are equal in Br(F) there exist z ∈ Ḟ with

for i = 1, 2, . . ., n. This linkage of quaternion algebras is examined and its relationship to the torsion freeness of I2(F) and to the strong approximation property is investigated.

Keywords

10C0110C05
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 31 , Issue 3 , 01 September 1988 , pp. 301 - 307
Copyright
Copyright © Canadian Mathematical Society 1988

References

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