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MSC subjects relevant to Galois Theory

   06A Ordered sets
     06A15 Galois correspondences

11 Number theory
   11E Linear algebraic groups
     11E72 Galois cohomology of linear algebraic groups
   11F Automorphic forms
     11F32 Modular correspondences
     11F80 Galois representations
     11F85 p-adic theory, local fields
   11G Arithmetic algebraic geometry (Diophantine geometry)
     11G18 Arithmetic aspects of modular and Shimura varieties
     11G20 Curves over finite and local fields
     11G25 Varieties over finite and local fields
     11G35 Varieties over global fields
   11R Algebraic number theory: global fields
     11R32 Galois theory
     11R33 Integral representations; Galois module structure
     11R34 Galois cohomology
     11R58 Arithmetic theory of algebraic function fields
   11S  Algebraic number theory: local and p-adic fields
     11S15 Ramification and extension theory
     11S20 Galois theory
     11S25 Galois cohomology

12 Field theory and polynomials
   12E General field theory
     12E30 Field arithmetic
   12F Field extensions
     12F10 Separable extensions, Galois theory
     12F12 Inverse Galois theory
   12G Homological methods (field theory)
      12G05 Galois cohomology
      12G10 Cohomological dimension

13 Commutative rings and algebras
   13B Ring extensions
      13B02 Extension theory
      13B05 Galois theory
      13B40 Étale and flat extensions; Henselization; Artin approximation
   13J Topological rings and modules
      13J05 Power series rings
      13J10 Complete rings, completion
      13J15 Henselian rings

14 Algebraic geometry
   14D Families, fibrations
      14D10 Arithmetic ground fields (finite, local, global)
      14D15 Formal methods; deformations
   14E Birational Geometry
      14E20 Coverings
      14E22 Ramification problems
   14F (Co)homology theory
      14F20 Étale and other Grothendieck topologies and cohomologies
      14F35 Homotopy theory; fundamental groups
   14G Arithmetic problems. Diophantine geometry
      14G22 Rigid analytic geometry
      14G32 Universal profinite groups (moduli spaces, towers, Galois
      14G50 Applications to coding theory and cryptography
   14H Curves
      14H10 Families, moduli (algebraic)
      14H30 Coverings, fundamental group
      14H37 Automorphisms

20 Group theory and generalizations
   20B Permutation groups
      20B25 Finite automorphism groups of structures
   20C Representation theory of groups
      20C05 Group rings of finite groups and their modules
      20C15 Ordinary representations and characters
      20C25 Projective representations and multipliers
   20E Structure and classification of infinite or finite groups
      20E18 Limits, profinite groups
      20E22 Extensions, wreath products, and other compositions
   20F Special aspects of infinite or finite groups
      20F34 Fundamental groups and their automorphisms
      20F36 Braid groups; Artin groups

30 Functions of a complex variable
   30F Riemann surfaces
     30F10 Compact Riemann surfaces and uniformization
     30F20 Classification theory of Riemann surfaces
     30F35 Fuchsian groups and automorphic functions
     30F40 Kleinian groups
     30F60 Teichmüller theory

34 Ordinary differential equations
   34M Differential equations in the complex domain
      34M15 Algebraic aspects (differential-algebraic, group-theoretic)
      34M50 Inverse problems (Riemann-Hilbert, inverse differential Galois)

57 Manifolds and cell complexes
   57M Low-dimensional topology
      57M05 Fundamental group, presentations, free differential calculus
      57M10 Covering spaces
      57M12 Special coverings, e.g. branched

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