Geodesic
Functions with variative-coordinate polynomiality over group
Prikladnaya Diskretnaya Matematika. Supplement, no. 9 (2016), pp. 24-27 Cet article a éte moissonné depuis la source Math-Net.Ru

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A class of VCP-functions, that is, of functions with the variative-coordinate polynomiality over group, is defined. It is an extension of the class of VCP-functions over primary ring of residues. An algorithm for finding coordinates for group elements is presented. It is shown that the class of VCP-functions over $UT_n(\mathbb Z_p)$ does not coincide with the class of polynomial function. A formula for constructing the inverse of a bijective VCP-function over $UT_n(\mathbb Z_p)$ is proposed.
Keywords: functions over group, functions with variative-coordinate polynomiality, coordinate functions. 
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     title = {Functions with variative-coordinate polynomiality over group},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/PDMA_2016_9_a8/}
}
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A. I. Zueva; A. V. Karpov. Functions with variative-coordinate polynomiality over group. Prikladnaya Diskretnaya Matematika. Supplement, no. 9 (2016), pp. 24-27. http://geodesic.mathdoc.fr/item/PDMA_2016_9_a8/

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