Geodesic
A transvection decomposition in ${\rm GL}(n,2)$
Clorinda De Vivo 1   ; Claudia Metelli 1
1 Dipartimento di Matematica e Applicazioni Università Federico II di Napoli 80126 Napoli, Italy
Colloquium Mathematicum, Tome 94 (2002) no. 1, pp. 51-60 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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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.
DOI : 10.4064/cm94-1-4
Mots-clés : algorithm given decompose automorphism finite vector space mathbb product transvections procedure uses partitions indexing set redundant base respect tents finite mathbb representations generated redundant base decomposition base changes

Clorinda De Vivo  1   ; Claudia Metelli  1

1 Dipartimento di Matematica e Applicazioni Università Federico II di Napoli 80126 Napoli, Italy 
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Clorinda De Vivo; Claudia Metelli. A transvection decomposition in ${\rm GL}(n,2)$. Colloquium Mathematicum, Tome 94 (2002) no. 1, pp. 51-60. doi: 10.4064/cm94-1-4

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