On geometric group theory on the symmetric group (Cayley distance, Kendall distance, Mallows kernel, etc.):
Michael A. Fligner, Joseph S. Verducci, Section 4 of: Distance Based Ranking Models, Journal of the Royal Statistical Society. Series B (Methodological) Vol. 48, No. 3 (1986), pp. 359-369 (jstor:2345433)
Michael A. Fligner, Joseph S. Verducci (eds.), Probability Models and Statistical Analyses for Ranking Data, Lecture Notes in Statistics 80, Springer 1993 (doi:10.1007/978-1-4612-2738-0)
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