An alternative quadratic functional equation on 2-divisible groups
نویسنده
چکیده
Let (G, ·) be a 2-divisible group and let (G∗,+) be a uniquely divisible abelian group. We show that the alternative quadratic functional equation f (x y−1)+ f (x y) =±2( f (x)+ f (y)) is equivalent to the quadratic functional equation f (x y−1)+ f (x y) = 2 f (x)+2 f (y) for the class of functions f : G→ G∗.
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