On the action of the Hua subgroups in special Moufang sets

• Autores: Yoav Segev, Richard M. Weiss
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 144, Nº 1, 2008, págs. 77-84
• Idioma: inglés
• DOI: 10.1017/s030500410700062x
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• Resumen

  • We show that in a special Moufang set, either the root groups are elementary abelian 2-groups, or the Hua subgroup H (= the Cartan subgroup) acts ¿irreducibly¿ on U, i.e. the only non-trivial H-invariant subgroup of a root group normalized by H is the whole root group.