References
- Connors, E. A. (1975). The structure of O′(V)∕DO(V) in the defective case. J. Algebra 34:74–83.
- Dolphin, A. (2014). Orthogonal Pfister involutions in characteristic two. J. Pure Appl. Algebra 218(10):1900–1915.
- Elman, R., Karpenko, N., Merkurjev, A. (2008). The Algebraic and Geometric Theory of Quadratic Forms. American Mathematical Society Colloquium Publications, Vol. 56. Providence, RI: American Mathematical Society.
- Grove, L. C. (2002). Classical Groups and Geometric Algebra. Graduate Studies in Mathematics, Vol. 39. Providence, RI: American Mathematical Society.
- Hahn, A. (1979). Unipotent elements and the spinor norms of Wall and Zassenhaus. Arch. Math. 32(2):114–122.
- Hahn, A. (1996). The elements of the orthogonal group Ωn(V) as products of commutators of symmetries. J. Algebra 184(3):927–944.
- Hahn, A. (2001). The Zassenhaus decomposition for the orthogonal group: Properties and applications. In: Proceedings of the Conference on Quadratic Forms and Related Topics (Baton Rouge, LA, 2001). Doc. Math., Extra Vol., pp. 165–181.
- Jacobson, N. (1996). Finite-Dimensional Division Algebras over Fields. Berlin: Springer-Verlag.
- Knus, M.-A., Merkurjev, A. S., Rost, M., Tignol, J.-P. (1998). The Book of Involutions. American Mathematical Society Colloquium Publications, Vol. 44. Providence, RI: American Mathematical Society.
- Knüppel, F. (1998). The length-problem for Eichler-transformations. Forum Math. 10(1):59–74.
- Mahmoudi, M. G. (2010). Orthogonal symmetries and Clifford algebras. Proc. Indian Acad. Sci. Math. Sci. 120(5): 535–561.
- Mahmoudi, M. G., Nokhodkar, A.-H. (2016). On totally decomposable algebras with involution in characteristic two. J. Algebra 451:208–231.
- Mahmoudi, M. G., Nokhodkar, A.-H. (2015). Involutions of a Clifford algebra induced by involutions of orthogonal group in characteristic 2. Commun. Algebra 43(9):3898–3919.
- Shapiro, D. B. (2000). Compositions of Quadratic Forms. de Gruyter Expositions in Mathematics, Vol. 33. Berlin: Walter de Gruyter & Co.
- Snapper, E., Troyer, R. J. (1989). Metric Affine Geometry. 2nd ed. Dover Books on Advanced Mathematics. New York: Dover Publications, Inc.
- Wall, G. E. (1963). On the conjugacy classes in the unitary, symplectic and orthogonal groups. J. Austral. Math. Soc. 3:1–62
- Wall, G. E. (1959). The structure of a unitary factor group. Inst. Hautes Études Sci. Publ. Math. 1:23.
- Wiitala, S. A. (1978). Factorization of involutions in characteristic two orthogonal groups: An application of the Jordan form to group theory. Linear Algebra Appl. 21(1):59–64.
- Zassenhaus, H. (1962). On the spinor norm. Arch. Math. 13:434–451.