Stable sandwich classification theorem for classical-like groups

Zhang Zuhong

doi:10.1017/S0305004107000527

Stable sandwich classification theorem for classical-like groups

Zhang Zuhong^*

^*Corresponding author for this work

Queen's University Belfast

Research output: Contribution to journal › Article › peer-review

18 Citations (Scopus)

Abstract

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

Original language	English
Pages (from-to)	607-619
Number of pages	13
Journal	Mathematical Proceedings of the Cambridge Philosophical Society
Volume	143
Issue number	3
DOIs	https://doi.org/10.1017/S0305004107000527
Publication status	Published - Nov 2007
Externally published	Yes

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Zuhong, Z. (2007). Stable sandwich classification theorem for classical-like groups. Mathematical Proceedings of the Cambridge Philosophical Society, 143(3), 607-619. https://doi.org/10.1017/S0305004107000527

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Stable sandwich classification theorem for classical-like groups

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