Generic elements of a Zariski-dense subgroup form an open subset

DOI10.1090/mosc/274zbMath1423.22015arXiv1707.02508OpenAlexW2963036582MaRDI QIDQ4584304

Gopal Prasad, Andrei S. Rapinchuk

Publication date: 30 August 2018

Published in: Transactions of the Moscow Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.02508

zbMATH Keywords

profinite topologygeneric elementsZariski-dense subgroups

Mathematics Subject Classification ID

Linear algebraic groups over arbitrary fields (20G15) Semisimple Lie groups and their representations (22E46) General properties and structure of other Lie groups (22E20)

Related Items (5)

On Hilbert’s irreducibility theorem for linear algebraic groups ⋮ Simple algebraic groups with the same maximal tori, weakly commensurable Zariski-dense subgroups, and good reduction ⋮ Non-virtually abelian anisotropic linear groups are not boundedly generated ⋮ Spinor groups with good reduction ⋮ Bounded generation by semi-simple elements: quantitative results

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• RINGS OF DEFINITION OF DENSE SUBGROUPS OF SEMISIMPLE LINEAR GROUPS

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