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The Galois group of random elements of linear groups

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Publication:2927717
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DOI10.1353/ajm.2014.0038zbMath1304.11125arXiv1205.5290OpenAlexW2964205868MaRDI QIDQ2927717

Alexander Lubotzky, Lior Rosenzweig

Publication date: 4 November 2014

Published in: American Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.5290


zbMATH Keywords

Galois grouprandom elementsZariski closurelinear group


Mathematics Subject Classification ID

Galois theory (11R32) Separable extensions, Galois theory (12F10) Linear algebraic groups over global fields and their integers (20G30) Probabilistic methods in group theory (20P05)


Related Items (3)

On Hilbert’s irreducibility theorem for linear algebraic groups ⋮ Splitting behavior of \(S_n\)-polynomials ⋮ Expander graphs in pure and applied mathematics




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