Journal of the Australian Mathematical Society - Series A
Vol. 65 Part 1 (1998)
Involutions and commutators in orthogonal groups
Suppose we are given a regular symmetric bilinear form on a finite-dimensional vector space V over a commutative field K of characteristic . We want to write given elements of the commutator subgroup (of the orthogonal group ) and also of the kernel of the spinorial norm as (short) products of involutions and as products of commutators.
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