Inverse ambiguous functions and automorphisms on finite groups
Abstract
If G is a finite group, then a bijective function f:G→G is inverse ambiguous if and only if f(x)-1 = f-1(x) for all x∈G. We give a precise description when a finite group admits an inverse ambiguous function and when a finite group admits an inverse ambiguous automorphism.
Keywords
inverse function; functional equation; finite groups; abelian groups
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Institut für Mathematik, Martin-Luther-Universität Halle-Wittenberg, Germany Germany
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