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Involutions and commutators in orthogonal groups

Part of: Forms and linear algebraic groups Algebraic groups

Published online by Cambridge University Press:  09 April 2009

Frieder Knüppel  and
Gerd Thomsen
Frieder Knüppel
Affiliation:
Mathematisches Seminar, Ludewig-Meyn-Straβe, 4 D-24098 Kiel, Germany
Gerd Thomsen
Affiliation:
Mathematisches Seminar, Ludewig-Meyn-Straβe, 4 D-24098 Kiel, Germany
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Abstract

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Suppose we are given a regular symmetric bilinear from on a finite-dimensional vector space V over a commutative field K of characteristic ≠ 2. We want to write given elements of the commutator subgroup ω(V) (of the orthogonal group O(V)) and also of the kernel of the spinorial norm ker(Θ) as (short) products of involutions and as products of commutators

MSC classification

Secondary: 11E57: Classical groups 14L35: Classical groups (geometric aspects)
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 65 , Issue 1 , August 1998 , pp. 1 - 36
Copyright
Copyright © Australian Mathematical Society 1998

References

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