Group theory and generalizations

The 32 problems with a statement whose AMS attribute names 20, Group theory and generalizations, in the Mathematics Subject Classification. A problem with statements in several subjects is listed under each; its article sits in its source folder's part.

Erdős Problem 274 to The \(S_3\)-conjecture (conjugacy…

• Erdős Problem 274
• Erdős Problem 1098
• Erdős Problem 1160
• Erdős Problem 1161
• Erdős Problem 1162
• The Andrews-Curtis conjecture
• Bounded Burnside problem
• Babai–Seress Conjectures on the Diameter of Finite Groups
• Gap conjecture
• Gromov's theorem on groups of polynomial growth
• Kaplansky's Conjectures
• Leinster Groups
• Gottschalk's surjunctivity conjecture
• Ben Green's Open Problem 4
• Ben Green's Open Problem 5
• Ben Green's Open Problem 18
• Ben Green's Open Problem 29
• Green's Open Problem 36
• Green's Open Problem 87
• The \(S_3\)-conjecture (conjugacy classes of distinct sizes)

Group structure via subgroup… to Conjecture 21.149

• Group structure via subgroup counts
• Fernandes' conjecture on the 2-generation of even direct product permutation groups
• Finite generation of the cohomology of finite-dimensional Hopf algebras
• Algebraic consequences of the Farrell–Jones conjecture
• Residual finiteness of hyperbolic groups
• Conjecture 1.35(c)
• Conjecture 1.40
• Conjecture 1.74 (Minimal topological groups)
• Conjecture 8.8
• Conjecture 19.25
• Conjecture 20.76
• Conjecture 21.149

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