Liftings of projective 2-dimensional Galois representations and embedding problems

DOI10.1006/jabr.1995.1027zbMath0845.12003OpenAlexW1995038391MaRDI QIDQ1346101

Jordi Quer

Publication date: 8 September 1996

Published in: Journal of Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jabr.1995.1027

zbMATH Keywords

liftingembedding problemsindex of the liftingobstructions of liftingsprojective representation of the absolute Galois group

Mathematics Subject Classification ID

Separable extensions, Galois theory (12F10) Inverse Galois theory (12F12) Projective representations and multipliers (20C25)

Related Items (10)

Class number one problem for normal CM-fields ⋮ Certification of modular Galois representations ⋮ Splitting fields of \(X^n - X -1\) (particularly for \(n=5)\), prime decomposition and modular forms ⋮ On octahedral extensions of \(\mathbb Q\) and quadratic \(\mathbb Q\)-curves. ⋮ On arithmetically equivalent fields with distinct \(p\)-class numbers. ⋮ Fields of definition of elliptic $k$-curves and the realizability of all genus 2 Sato–Tate groups over a number field ⋮ On modular mod \(\ell\) Galois representations with exceptional images ⋮ Galois families of modular forms and application to weight one ⋮ Construction of \(2^mS_n\)-fields containing a \(C_{2^m}\)-field ⋮ On modular forms and the inverse Galois problem

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