Group-theoretical independence of $\ell $-adic Galois representations

DOI10.4064/aa8438-7-2016zbMath1402.11083arXiv1701.04757OpenAlexW2528792664MaRDI QIDQ2833612

Sebastian Petersen

Publication date: 18 November 2016

Published in: Acta Arithmetica (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1701.04757

zbMATH Keywords

Galois representationétale cohomologyfinitely generated field

Mathematics Subject Classification ID

Étale and other Grothendieck topologies and (co)homologies (14F20) Galois representations (11F80)

Cites Work

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• Finiteness theorems in geometric classfield theory. (With an appendix by Kenneth A. Ribet)
• Smoothness, semi-stability and alterations
• Independence of \(\ell\)-adic representations of geometric Galois groups
• Serre's tame inertia conjecture
• Good reduction of abelian varieties
• Independence of -adic Galois representations over function fields
• -independence for compatible systems of (mod ) representations
• Finite subgroups of algebraic groups
• Composition Factors from the Group Ring and Artin's Theorem on Orders of Simple Groups
• Division fields of abelian varieties with complex multiplication
• Endomorphisms of linear algebraic groups
• The orders of the classical simple groups

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