Ivan Shishkin, Birch Grove

Permutation

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Revision 398

7/10/2026, 2:38:06 PM · Ancient Tree

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1A permutation of a set $X$ is a [[Bijective map|bijection]] $\sigma:X \rightarrow X$.
2
3##### Remarks
4- The set of permutations of $X$ forms a [[Group|group]] under composition, denoted $\mathfrak{S}_X$ or $S(X)$.
4- The set of permutations of $X$ forms a [[Group|group]] under [[Composition of maps|composition]], denoted $\mathfrak{S}_X$ or $S(X)$.

Revision 390

7/10/2026, 1:47:52 PM · Ancient Tree

Concept edited

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1A permutation is...
1A permutation of a set $X$ is a [[Bijective map|bijection]] $\sigma:X \rightarrow X$.
2
3##### Remarks
4- The set of permutations of $X$ forms a [[Group|group]] under composition, denoted $\mathfrak{S}_X$ or $S(X)$.

Revision 347

7/8/2026, 2:04:57 PM · Ancient Tree

Concept created

A permutation is...