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Journal of the Australian Mathematical Society - Series A
Vol. 65 Part 1 (1998)

Involutions and commutators in orthogonal groups

Frieder Knüppel
Mathematisches Seminar
Ludewig-Meyn-Straße 4
D-24098 Kiel
Germany
and
Gerd Thomsen

Abstract:

Suppose we are given a regular symmetric bilinear form on a finite-dimensional vector space V over a commutative field K of characteristic $\not= 2$. We want to write given elements of the commutator subgroup $\Omega (V)$ (of the orthogonal group $\Og (V)$) and also of the kernel of the spinorial norm $\ker (\Theta )$ as (short) products of involutions and as products of commutators.

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© Copyright 1998, Australian Mathematical Society
TeXAdel Scientific Publishing
1998-09-18