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- W2789957948 abstract "The number of inversions is a statistic on permutation groups measuring the degree to which the entries of a permutation are out of order. We provide a generalization of that statistic by introducing the statistic number of pseudoinversions on the colored permutation groups. The main motivation to investigate that statistic is the possibility to use it to define a number system and a numeral system on the colored permutation groups. By means of the statistic number of $i$-pseudoinversions, we construct our number system, and a bijection between the set of positive integers and the colored permutation groups." @default.
- W2789957948 created "2018-03-29" @default.
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- W2789957948 date "2015-03-18" @default.
- W2789957948 modified "2023-09-27" @default.
- W2789957948 title "The Statistic $mathtt{pinv}$ for Number System" @default.
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- W2789957948 hasPublicationYear "2015" @default.
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