Modular representations arising from self-dual $\ell$-adic representations of finite groups

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dc.creatorSilverberg, A.
dc.creatorZarhin, Yu. G.
dc.date1998-09-18
dc.date.accessioned2026-07-07T05:26:04Z
dc.date.available2026-07-07T05:26:04Z
dc.descriptionSuppose $\ell$ is a prime number, ${\mathbf Q}_\ell$ is the field of $\ell$-adic numbers, ${\mathbf F}_\ell$ is the finite field of $\ell$ elements, and $d$ is a positive integer. Suppose $G$ is a finite subgroup of a symplectic group $Sp_{2d}({\mathbf Q}_\ell)$. We prove that $G$ can be embedded in $Sp_{2d}({\mathbf F}_\ell)$ in such a way that the characteristic polynomials are preserved (mod $\ell$), as long as $\ell>3$.
dc.identifierhttps://arxiv.org/abs/math/9809107
dc.identifierhttp://arxiv.org/abs/math/9809107
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/77416
dc.subjectGroup Theory
dc.subjectAlgebraic Geometry
dc.subjectNumber Theory
dc.titleModular representations arising from self-dual $\ell$-adic representations of finite groups
dc.typetext

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