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06 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 theory) 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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