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I believe that "inversion" in the context of permutations is far more commonly used to denote a pair $i<j$ such that $\pi(i) > \pi(j)$ – and indeed that is how is is used in the article on determinants – and that the subject of this article is more commonly described as a "derangement". Richard Pinch (talk) 21:34, 30 November 2016 (CET)

Indeed. And (again), here is a Russian version of our article: ИНВЕРСИЯ. Amusingly, there "homosexuality" is the first synonym of "inversion". But the Russian Wikipedia article "Беспорядок (перестановка)" (that is, "deragement (permutation)") says first of all: not to be confused with "inversion (permutation)"! Boris Tsirelson (talk) 22:46, 30 November 2016 (CET)
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Derangement. Encyclopedia of Mathematics. URL: