Identifying Frobenius elements in Galois groups

DOI10.2140/ant.2013.7.1325zbMath1368.11115arXiv1009.5388OpenAlexW2963399385MaRDI QIDQ380365

Tim Dokchitser, Vladimir Dokchitser

Publication date: 13 November 2013

Published in: Algebra \& Number Theory (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1009.5388

zbMATH Keywords

Galois groupsFrobenius elementsArtin representations

Mathematics Subject Classification ID

Galois theory (11R32) Separable extensions, Galois theory (12F10) Zeta functions and (L)-functions of number fields (11R42)

Related Items (17)

Computing Fourier Coefficients of Level One Modular Forms ⋮ Moduli-friendly Eisenstein series over the \(p\)-adics and the computation of modular Galois representations ⋮ Artin \(L\)-functions of small conductor ⋮ Computing modular Galois representations ⋮ Certification of modular Galois representations ⋮ -adic images of Galois for elliptic curves over (and an appendix with John Voight) ⋮ Galois representations of superelliptic curves ⋮ SERRE WEIGHTS AND WILD RAMIFICATION IN TWO-DIMENSIONAL GALOIS REPRESENTATIONS ⋮ Explicit computation of a Galois representation attached to an eigenform over \(\mathrm{SL}_3\) from the \(\mathrm{H}_{\acute{\mathrm{e}}\mathrm{t}}^2\) of a surface ⋮ Frobenius elements in Galois representations with \(\mathrm{SL}_{n}\) image ⋮ Computation of Galois groups of rational polynomials ⋮ Elliptic curves over \(\mathbb {Q}\) and 2-adic images of Galois ⋮ On the computation of coefficients of modular forms: The reduction modulo $p$ approach ⋮ Hensel-lifting torsion points on Jacobians and Galois representations ⋮ On the paramodularity of typical abelian surfaces ⋮ Totally decomposed prime ideals and Newton sums ⋮ Computing Galois representations of modular abelian surfaces

Uses Software

• Magma

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