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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