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- W2756663094 abstract "In this paper we prove a sandwich classification theorem for subgroups of the classical symplectic group over an arbitrary commutative ring $R$ that contain the elementary block-diagonal (or subsystem) subgroup $operatorname{Ep}(nu, R)$ corresponding to a unitary equivalence realation $nu$ such that all self-conjugate equivalence classes of $nu$ are of size at least 4 and all not-self-conjugate classes of $nu$ are of size at least 5. Namely, given a subgroup $H$ of $operatorname{Sp}(2n, R)$ such that $operatorname{Ep}(nu, R) le H$ we show that there exists a unique exact major form net of ideals $(sigma, Gamma)$ over $R$ such that $operatorname{Ep}(sigma, Gamma) le H le N_{operatorname{Sp}(2n,R)}(operatorname{Sp}(sigma, Gamma))$. Further, we describe the normalizer $N_{operatorname{Sp}(2n,R)}(operatorname{Sp}(sigma, Gamma))$ in terms of congruences." @default.
- W2756663094 created "2017-10-06" @default.
- W2756663094 creator A5004458679 @default.
- W2756663094 date "2017-09-20" @default.
- W2756663094 modified "2023-09-27" @default.
- W2756663094 title "Overgroups of elementary block-diagonal subgroups in the classical symplectic group over an arbitrary commutative ring" @default.
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