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Description of pseudocharacters' space on free product of groups

Description of pseudocharacters' space on free product of groups

A * B be a free product of groups A and B .A description is given of the space of real-valued functions ϕ on the group G satisfying the following conditions:1) the set {ϕ(xy) -ϕ(x) -ϕ(y); x, y ∈ G} is bounded; 2) ϕ(x n ) = nϕ(x) for any …