Essential dimensions of A7 and S7

• Autores: Alexander Duncan
• Localización: Mathematical research letters, ISSN 1073-2780, Vol. 17, Nº 2-3, 2010, págs. 263-266
• Idioma: inglés
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• Resumen

  • We show that Y. Prokhorov's ``Simple Finite Subgroups of the {C}remona Group of Rank 3'' implies that, over any field of characteristic $0$, the essential dimensions of the alternating group, $A_7$, and the symmetric group, $S_7$, are $4$.