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Stable sandwich classification theorem for classical-like groups

Published online by Cambridge University Press:  01 November 2007

ZUHONG ZHANG
ZUHONG ZHANG*
Affiliation:
Department of Pure Mathematics, Queen's University, Belfast BT7 1NN, N. Ireland. email: zuhong.zhang@qub.ac.uk
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Abstract

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

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Type
Research Article
Information
Mathematical Proceedings of the Cambridge Philosophical Society , Volume 143 , Issue 3 , November 2007 , pp. 607 - 619
Copyright
Copyright © Cambridge Philosophical Society 2007

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