Stable sandwich classification theorem for classical-like groups

• Autores: Zuhong Zhang
• Localización: Mathematical proceedings of the Cambridge Philosophical Society, ISSN 0305-0041, Vol. 143, Nº 3, 2007, págs. 607-619
• Idioma: inglés
• DOI: 10.1017/s0305004107000527
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• Resumen

  • Let H denote a subgroup of the unitary group U(R, ?) which is normalized by EU(J, GJ) for some form ideal (J, GJ) of a commutative form ring (R, ?). We prove that H satisfies a �sandwich� property, i.e., there exists a form ideal (I GI) such that for some form ideal (I : J7, O). This answers a conjecture of Bak (1967) in the stable case.