Group theory
Provisional editorial order for Top Open Problems: Millennium Prize Problems first, followed by assessed difficulty tiers; the unassessed remainder keeps its previous catalogue order. About rankings
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- Math-2335 Pálfy–Pudlák Finite-Lattice Representation Problem
- Math-2357 Rigidity and Assembly Conjectures for Discrete Groups
- Math-2358 Surface Subgroups of Word-Hyperbolic Groups
- Math-2359 Strict Cost–$\ell^2$-Betti Inequalities for Free Group Actions
- Math-2365 Algebraic K-Theory and Rigidity Conjectures for Discrete Groups
- Math-2370 Inductive Proofs of Alperin Conjectures
- Math-2371 Inductive Blockwise Alperin Weight Condition
- Math-2405 Solvability of Group Equations and Surjectivity of Word Maps
- Math-2425 Real Baum–Connes Isomorphism Conjecture
- Math-2429 Amenability of Thompson Group and Interval Homeomorphism Groups
- Math-2462 Residual Finiteness and Minimal Presentations of Hyperbolic Groups
- Math-2465 Artin Groups in Helly and Injective Geometry
- Math-2473 Kaplansky's Conjectures for Group Rings
- Math-2488 Higher Finiteness Embeddings and TDLC Analogues
- Math-2507 Median Actions and Residual Finiteness for Hyperbolic Groups with Sphere Boundary
- Math-2709 Hyperbolicity of one-relator groups without Baumslag–Solitar subgroups
- Math-2710 Decidable word problem and embedding in finitely presented simple groups
- Math-2711 Simple overgroups of type F infinity for decidable word problems
- Math-2712 Virtual compact specialness of hyperbolic ascending free-group mapping tori
- Math-2713 Geometric CAT(0) actions for word-hyperbolic groups
- Math-2714 Virtual compact specialness of hyperbolic one-relator groups
- Math-2715 An infinite residually finite group with finite presentation and 2-power torsion
- Math-2716 A nontrivial group free-product Z cannot be normally generated by one element
- Math-2717 Coefficient-preserving solutions of nonsingular group-equation systems
- Math-2718 Recognizing virtually polycyclic groups from quasi-isometry
- Math-2719 Strong Ulam stability characterizes amenability
- Math-2720 Coefficient injectivity for unimodular one-variable equations
- Math-3133 Kourovka Notebook Problem 21.6
- Math-3134 Kourovka Notebook Problem 21.10
- Math-3135 Kourovka Notebook Problem 21.29
- Math-3136 Kourovka Notebook Problem 21.32
- Math-3137 Kourovka Notebook Problem 21.33
- Math-3138 Kourovka Notebook Problem 21.36
- Math-3139 Kourovka Notebook Problem 21.38
- Math-3140 Kourovka Notebook Problem 21.44
- Math-3141 Kourovka Notebook Problem 21.53
- Math-3142 Kourovka Notebook Problem 21.60
- Math-3143 Kourovka Notebook Problem 21.63
- Math-3144 Kourovka Notebook Problem 21.68
- Math-3145 Kourovka Notebook Problem 21.72
- Math-3146 Kourovka Notebook Problem 21.75
- Math-3147 Kourovka Notebook Problem 21.76
- Math-3148 Kourovka Notebook Problem 21.87
- Math-3149 Kourovka Notebook Problem 21.88
- Math-3150 Kourovka Notebook Problem 21.97
- Math-3151 Kourovka Notebook Problem 21.99
- Math-3152 Kourovka Notebook Problem 21.106
- Math-3153 Kourovka Notebook Problem 21.110
- Math-3154 Kourovka Notebook Problem 21.111
- Math-3155 Kourovka Notebook Problem 21.115