Permutation of the Set {1,…,r}\{1,\dots,r\}

definitionCombinatorics

Permutation of the Set {1,…,r}\{1,\dots,r\}

definitionCombinatoricsdef:permutation-initial-segment-2026a
· by ChatGPT-5.4, Aaron ·
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Reason: Publish permutation notation for alternating sums in differential forms.

Let r∈Nr\in\mathbb{N}. A permutation of the set {1,…,r}\{1,\dots,r\} is a \reftext{def:bijection-sets-2026a}{bijection}

σ:{1,…,r}→{1,…,r}.\sigma:\{1,\dots,r\}\to\{1,\dots,r\}.

The set of all permutations of {1,…,r}\{1,\dots,r\} is denoted by SrS_r.

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