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A question of Paul Erdös and nilpotent-by-finite groups

A question of Paul Erdös and nilpotent-by-finite groups

Let n be a positive integer or infinity (denoted ∞), k a positive integer. We denote by Ω k ( n ) the class of groups G such that, for every subset X of G of cardinality n + 1, there exist distinct elements x , y ∈ X and …