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This article is cited in 1 scientific paper (total 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.
Citation:
A. V. Karpov, “The inverse of differentiable permutations over groups”, Prikl. Diskr. Mat. Suppl., 2015, no. 8, 30–32
Linking options:
https://www.mathnet.ru/eng/pdma218 https://www.mathnet.ru/eng/pdma/y2015/i8/p30
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Abstract page: | 161 | Full-text PDF : | 55 | References: | 36 |
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