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

Abstract

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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.

How to cite

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Clorinda 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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