Stable sandwich classification theorem for classical-like groups

Author:

ZHANG ZUHONG

Abstract

AbstractLet 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 that for some form ideal (I : J7, Ω). This answers a conjecture of Bak (1967) in the stable case.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference14 articles.

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