caa a22 4500 388046481 CHVBK 20180307125040.0 cr unu---uuuuu 161130e199808 xx s 000 0 eng 10.1017/S1446788700039379 doi S1446788700039379 pii (NATIONALLICENCE)cambridge-10.1017/S1446788700039379 Involutions and commutators in orthogonal groups [Elektronische Daten] 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 Copyright © Australian Mathematical Society 1998 primary 11E57 nationallicence secondary 14L35 nationallicence Knüppel Frieder Mathematisches Seminar, Ludewig-Meyn-Straβe, 4 D-24098 Kiel, Germany Thomsen Gerd Mathematisches Seminar, Ludewig-Meyn-Straβe, 4 D-24098 Kiel, Germany Journal of the Australian Mathematical Society Cambridge University Press 65/1(1998-08), 1-36 1446-7887 65:1<1 1998 65 JAZ https://doi.org/10.1017/S1446788700039379 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1017/S1446788700039379 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Knüppel Frieder Mathematisches Seminar, Ludewig-Meyn-Straβe, 4 D-24098 Kiel, Germany NATIONALLICENCE 700 1- Thomsen Gerd Mathematisches Seminar, Ludewig-Meyn-Straβe, 4 D-24098 Kiel, Germany NATIONALLICENCE 773 0- Journal of the Australian Mathematical Society Cambridge University Press 65/1(1998-08), 1-36 1446-7887 65:1<1 1998 65 JAZ CC0 http://creativecommons.org/publicdomain/zero/1.0 nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-cambridge