\(A_6\)-extensions of \(\mathbb Q\) and the mod \(p\) cohomology of \(\text{GL}_3(\mathbb Z)\)

DOI10.1016/j.jnt.2004.12.007zbMath1104.11025arXivmath/0410502OpenAlexW1990500225MaRDI QIDQ817259

Avner Ash, Warren Sinnott, David Pollack

Publication date: 8 March 2006

Published in: Journal of Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0410502

zbMATH Keywords

Galois representationHecke eigenclass

Mathematics Subject Classification ID

Galois theory (11R32) Galois representations (11F80)

Uses Software

• PARI/GP

Cites Work

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• On the modular representations of degree two of \(\text{Gal}({\overline {\mathbb Q}}/{\mathbb Q})\)
• An analogue of Serre's conjecture for Galois representations and Hecke eigenclasses in the \(\operatorname{mod} p\) cohomology of \(\text{GL}(n,\mathbb{Z})\)
• Galois representations with conjectural connections to arithmetic cohomology
• A database of local fields
• Über das Einbettungsproblem der algebraischen Zahlentheorie
• On the computation of all extensions of a 𝑝-adic field of a given degree
• The Valentiner group as Galois group

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