# A transvection decomposition in GL(n,2)

Clorinda De Vivo; Claudia Metelli

Colloquium Mathematicae (2002)

- Volume: 94, Issue: 1, page 51-60
- ISSN: 0010-1354

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topClorinda De Vivo, and Claudia Metelli. "A transvection decomposition in GL(n,2)." Colloquium Mathematicae 94.1 (2002): 51-60. <http://eudml.org/doc/284603>.

@article{ClorindaDeVivo2002,

abstract = {An algorithm is given to decompose an automorphism of a finite vector space over ℤ₂ into a product of transvections. The procedure uses partitions of the indexing set of a redundant base. With respect to tents, i.e. finite ℤ₂-representations generated by a redundant base, this is a decomposition into base changes.},

author = {Clorinda De Vivo, Claudia Metelli},

journal = {Colloquium Mathematicae},

keywords = {; 1); transvection factorization; GL; 2); -representations; tents; bases; algorithm; finite vector space; Galois field; product of transvections},

language = {eng},

number = {1},

pages = {51-60},

title = {A transvection decomposition in GL(n,2)},

url = {http://eudml.org/doc/284603},

volume = {94},

year = {2002},

}

TY - JOUR

AU - Clorinda De Vivo

AU - Claudia Metelli

TI - A transvection decomposition in GL(n,2)

JO - Colloquium Mathematicae

PY - 2002

VL - 94

IS - 1

SP - 51

EP - 60

AB - An algorithm is given to decompose an automorphism of a finite vector space over ℤ₂ into a product of transvections. The procedure uses partitions of the indexing set of a redundant base. With respect to tents, i.e. finite ℤ₂-representations generated by a redundant base, this is a decomposition into base changes.

LA - eng

KW - ; 1); transvection factorization; GL; 2); -representations; tents; bases; algorithm; finite vector space; Galois field; product of transvections

UR - http://eudml.org/doc/284603

ER -

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