Ellers, Erich W. and Villa, Oliver
(2015)
*
Half turns in characteristic 2.
*
*Linear Algebra and its Applications*, 483.
pp. 221-226.
ISSN 0024-3795

Official Website: http://dx.doi.org/10.1016/j.laa.2015.06.001

## Abstract

Let V be a nonsingular quadratic space over a field K of characteristic 2. We show that if n>4, then every element π in the special orthogonal group SO(V) is a product of an even number of half turns. If dimB(π) =2k, then the length of π with respect to the half turns is k, k+1 or k+2.

Item Type: | Scientific journal article, Newspaper article or Magazine article |
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Uncontrolled Keywords: | Factorization; Half turn; Quadratic form; Singular vector |

Subjects: | Mathematical sciences Mathematical sciences > Mathematics > Pure mathematics |

Department/unit: | Dipartimento tecnologie innovative |

Depositing User: | Oliver Villa |

Date Deposited: | 30 Jun 2015 05:57 |

Last Modified: | 26 Jul 2016 14:56 |

URI: | http://repository.supsi.ch/id/eprint/6559 |

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