UNE PROPRIÉTÉ DU GROUPE Á 168 ÉLÉMENTS
Let e be an affine space of dimension n over a field <img width=30 height=16 id="_x0000_i1026" src="http:/fbpe/img/proy/v24n3/img01-05.jpg">the affine group of e, G the corresponding linear group. To each point <img width=40 height=15 id="_x0000_i1027" src=&quo...
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| Autor principal: | |
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| Lenguaje: | French |
| Publicado: |
Universidad Católica del Norte, Departamento de Matemáticas
2005
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| Acceso en línea: | http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172005000300001 |
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| Sumario: | Let e be an affine space of dimension n over a field <img width=30 height=16 id="_x0000_i1026" src="http:/fbpe/img/proy/v24n3/img01-05.jpg">the affine group of e, G the corresponding linear group. To each point <img width=40 height=15 id="_x0000_i1027" src="http:/fbpe/img/proy/v24n3/img01-03.jpg">corresponds a section <img width=60 height=17 id="_x0000_i1028" src="http:/fbpe/img/proy/v24n3/img01-01.jpg">of the canonical map <img width=50 height=16 id="_x0000_i1029" src="http:/fbpe/img/proy/v24n3/img01-02.jpg">to the linear map <img width=50 height=21 id="_x0000_i1030" src="http:/fbpe/img/proy/v24n3/img01-04.jpg">corresponds the affine map <img width=25 height=23 id="_x0000_i1031" src="http:/fbpe/img/proy/v24n3/img01-06.jpg">wich has <img width=15 height=19 id="_x0000_i1032" src="http:/fbpe/img/proy/v24n3/img01-07.jpg">as associated linear map and a as fixed point. We proove that every section is of this type, except in the only one case where K = F2 and n = 3 |
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