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Results tagged with symmetric-groups
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user 19422
The symmetric group $S_n$ is the group of permutations of the set of integers $\{1,\dots,n\}$. This has $n!$ elements and is generated by the $n-1$ involutions exchanging consecutive integers. The symmetric groups form the simplest family of Coxeter groups.
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Can this nested sum be expressed in terms of generalized harmonic numbers and the cycle inde...
Correction: the first paragraph is nonsense; I got confused with the notation for $S(n,m)$ for Stirling numbers, and the finite sum form (it was a late night...)
However, if you follow Adamchik's for …
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