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| View Original: | Symmetric group 4; permutation list with matrices.svg (231x744) | |||
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| Keywords: Symmetric group 4; permutation list with matrices.svg All permutations of 4 elements in reverse colexicographic order permutation matrices left action; multiplication of these matrices corresponds to the usual g after f composition of permutations numbers permuted elements and http //mathworld wolfram com/InversionVector html inversion vectors which are reflected factorial numbers Odd permutations in color Transpositions in green and 4-cycles in orange inversion sets ordered like 100px sequence A034968 digit sum of inversion vectors and cardinality of inversion sets vertical-align top; 185px vertical-align top; 686px Printable version File Symmetric group 4; Cayley table; numbers pdf v Published by mate2code under the following licence Symmetric group S4 4x4 permutation matrix Inversion set of a permutation Inversion vector of a permutation Colexicographic order | ||||
