Products of Transvections
Canadian journal of mathematics, Tome 26 (1974) no. 6, pp. 1412-1417
Voir la notice de l'article provenant de la source Cambridge University Press
This paper is concerned with the presentation of certain elements of the group SL(n, K) as products of a minimal number of transvections. To explain the terminology, let V be an n-dimensional left vector space over a (not necessarily commutative) field K. The group of all non-singular linear transformations of V onto V (i.e. the group of all collineations of V) is the group GL(n, K). This group is generated by collineations leaving a hyperplane pointwise fixed. When n = 2 these collineations are called axial collineations and the invariant hyperplane (line) is then called an axis.
Phadke, B. B. Products of Transvections. Canadian journal of mathematics, Tome 26 (1974) no. 6, pp. 1412-1417. doi: 10.4153/CJM-1974-135-0
@article{10_4153_CJM_1974_135_0,
author = {Phadke, B. B.},
title = {Products of {Transvections}},
journal = {Canadian journal of mathematics},
pages = {1412--1417},
year = {1974},
volume = {26},
number = {6},
doi = {10.4153/CJM-1974-135-0},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CJM-1974-135-0/}
}
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