Geodesic
Quadratic forms and Linkage of Quaternion Algebras
Canadian mathematical bulletin, Tome 31 (1988) no. 3, pp. 301-307

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DOI

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.
DOI : 10.4153/CMB-1988-043-7
Mots-clés : 10C01, 10C05 
Krishnamani, Vatsala; Yucas, Joseph. Quadratic forms and Linkage of Quaternion Algebras. Canadian mathematical bulletin, Tome 31 (1988) no. 3, pp. 301-307. doi: 10.4153/CMB-1988-043-7
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     author = {Krishnamani, Vatsala and Yucas, Joseph},
     title = {Quadratic forms and {Linkage} of {Quaternion} {Algebras}},
     journal = {Canadian mathematical bulletin},
     pages = {301--307},
     year = {1988},
     volume = {31},
     number = {3},
     doi = {10.4153/CMB-1988-043-7},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1988-043-7/}
}
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