Geodesic
The inverse of differentiable permutations over groups
Prikladnaya Diskretnaya Matematika. Supplement, no. 8 (2015), pp. 30-32

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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.
Mots-clés : permutation, polynomial over group
Keywords: differentiable function. 
@article{PDMA_2015_8_a10,
     author = {A. V. Karpov},
     title = {The inverse of differentiable permutations over groups},
     journal = {Prikladnaya Diskretnaya Matematika. Supplement},
     pages = {30--32},
     publisher = {mathdoc},
     number = {8},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2015_8_a10/}
}
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A. V. Karpov. The inverse of differentiable permutations over groups. Prikladnaya Diskretnaya Matematika. Supplement, no. 8 (2015), pp. 30-32. http://geodesic.mathdoc.fr/item/PDMA_2015_8_a10/