Geodesic
A Note an a Group Defined by a Quadratic Form
Canadian mathematical bulletin, Tome 3 (1960) no. 2, pp. 143-148

Voir la notice de l'article provenant de la source Cambridge University Press

In a recent series of papers [3,4,5], H. Zassenhaus considered the structure of those linear transformations T on real 4-space, R4, into itself that preserve the quadratic form . That is, 1.1 Define a function φ on R4 to the space M 2 of 2-square matrices over the complex numbers as follows: 1.2 Let G2 be the vector space of matrices generated by all real linear combinations of 1.3 
Marcus, Marvin. A Note an a Group Defined by a Quadratic Form. Canadian mathematical bulletin, Tome 3 (1960) no. 2, pp. 143-148. doi: 10.4153/CMB-1960-017-4
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[1] 1. Dieudonné, J., Sur une généralisation du groupe orthogonal à quatre variables. Arch. Math. 1 (1949), 282-287. Google Scholar

[2] 2. Marcus, M. and Moyls, B. N., Linear transformations on algebras of matrices I, Canad. J. Math. 11 (1959), 61-66. Google Scholar

[3] 3. Zassenhaus, H. J., On a normal form of the orthogonal transformation I, Canad. Math. Bull. 1 (1958), 31-39. Google Scholar

[4] 4. Zassenhaus, H. J., On a normal form of the orthogonal transformation II, Canad. Math. Ball. 1 (1958), 101-111. Google Scholar

[5] 5. Zassenhaus, H. J., On a normal form of the orthogonal transformation III, Canad. Math. Bull. 1 (1958), 183-191. Google Scholar

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