Composition of quaternary quadratic forms
Compositio Mathematica, Tome 60 (1986) no. 2, pp. 133-150. 
@article{CM_1986__60_2_133_0,
     author = {Kneser, M. and Knus, M.-A. and Ojanguren, M. and Parimala, R. and Sridharan, R.},
     title = {Composition of quaternary quadratic forms},
     journal = {Compositio Mathematica},
     pages = {133--150},
     publisher = {Martinus Nijhoff Publishers},
     volume = {60},
     number = {2},
     year = {1986},
     mrnumber = {868134},
     zbl = {0612.10015},
     language = {en},
     url = {http://archive.numdam.org/item/CM_1986__60_2_133_0/}
}
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%A Sridharan, R.
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Kneser, M.; Knus, M.-A.; Ojanguren, M.; Parimala, R.; Sridharan, R. Composition of quaternary quadratic forms. Compositio Mathematica, Tome 60 (1986) no. 2, pp. 133-150. http://archive.numdam.org/item/CM_1986__60_2_133_0/

[B] H. Bass: Algebraic K-theory. Benjamin:New York (1968). | MR | Zbl

[BS] F. Van Der Blij and T.A. Springer: The arithmetic of octaves and of the group G2. Indag. Math. 21 (1959) 406-418. | MR | Zbl

[Br 1] H. Brandt: Zur Komposition der quaternären quadratischen Formen. J. reine angew. Math. 143 (1913) 106-129. | JFM

[Br 2] H. Brandt: Der Kompositionsbegriff bei den quaternären quadratischen Formen. Math. Ann. 91 (1924) 300-315. | JFM | MR

[Br 3] H. Brandt: Idealtheorie in Quaternionenalgebren. Math. Ann. 99 (1928) 1-29. | JFM | MR

[Brz 1] J. Brzezinski: A characterization of Gorenstein orders in quaternion algebras. Math. Scand. 50 (1982) 19-24. | MR | Zbl

[Brz 2] J. Brzezinski: On orders in quaternion algebras. Communications in Algebra 11 (1983) 501-522. | MR | Zbl

[Ka] I. Kaplansky: Submodules of quaternion algebras. Proc. London Math. Soc. 19 (1969) 219-232. | MR | Zbl

[Kn] M. Kneser: Composition of binary quadratic forms. J. Number Theory 15 (1982) 406-413. | MR | Zbl

[Kö] O. Körner: Ordnungen von Quaternionenalgebren über lokalen Körpern. J. reine angew. Math. 333 (1982) 162-178. | MR | Zbl

[KP] M.-A. Knus and A. Paques: Quadratic spaces with trivial Arf invariant. J. of Algebra 93 (1985) 267-291. | MR | Zbl

[N] M. Nagata: Local Rings. R.E. Krieger Publishing Comp.: New York (1975). | MR | Zbl

[P] P. Ponomarev: Class numbers of definite quaternary forms with square discriminant. J. Number Theory 6 (1974) 291-317. | MR | Zbl