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Inversion sets of transpositions

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I have realized that transpositions have very regular looking inversion sets.
If someone knows a reliable source, this property may be mentioned in the article.
They are shown in this table: v:Permutations by cycle type#transpositions
This hint is also here: Talk:Inversion (discrete mathematics)#Inversion sets of transpositions
Watchduck (talk) 16:53, 31 March 2012 (UTC)[reply]

Combinatorics vs. Group Theory

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I find this distinction very strange and I have never come across it (except of course on Wikipedia). Unless someone can come up with a reference, I will remove it and replace it by referenced material. Bill Cherowitzo (talk) 05:44, 6 April 2014 (UTC)[reply]

I agree. --JBL (talk) 13:53, 6 April 2014 (UTC)[reply]