A transvection decomposition in ${\rm GL}(n,2)$
Volume 94 / 2002
Colloquium Mathematicum 94 (2002), 51-60
MSC: 15Axx, 08Axx, 05Bxx, 06Bxx, 20Hxx.
DOI: 10.4064/cm94-1-4
Abstract
An algorithm is given to decompose an automorphism of a finite vector space over ${\mathbb Z}_{2}$ into a product of transvections. The procedure uses partitions of the indexing set of a redundant base. With respect to tents, i.e. finite ${\mathbb Z}_{2}$-representations generated by a redundant base, this is a decomposition into base changes.
