Inverse ambiguous functions and automorphisms on finite groups

Imke Toborg

Published: 2019-06-13

Vol. 33 (2019)

Inverse ambiguous functions and automorphisms on finite groups

Imke Toborg

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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Toborg, I. (2019). Inverse ambiguous functions and automorphisms on finite groups. Annales Mathematicae Silesianae, 33, 284–297. Retrieved from https://journals.us.edu.pl/index.php/AMSIL/article/view/13673

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Vol. 33 (2019)
Published: 2019-07-18

ISSN: 0860-2107

eISSN: 2391-4238

10.2478/amsil

Publisher

University of Silesia Press

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