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Yet another variant of the Drygas functional equation on groups

Yet another variant of the Drygas functional equation on groups

Let G be a group and C the field of complex numbers. Suppose σ1, σ 2 : G → G are endomorphisms satisfying the condition σi(σi(x)) = x for all x in G and for i = 1, 2. In this paper, we find the central solution f : G …