This article is cited in 1 paper

Discrete Functions

The inverse of differentiable permutations over groups

A. V. Karpov

Tomsk State University, Tomsk

Abstract: The concept of a differentiable function over a group with a normal series generalizing the concept of a polynomial function is introduced. In the case of abelian, nilpotent and solvable groups, a recurrent formula for constructing the inverse of differentiable permutation with respect to composition is proved.

Keywords: permutation, polynomial over group, differentiable function.

UDC: 512.543.72

DOI: 10.17223/2226308X/8/11