Construct · 1 fields · 1 citations

permutation: a standalone construct

One name. One construct. A landmark on the map.

● anchor · a standalone construct Nearest construct by meaning·not indexed
permutation1 CONSTRUCTPermutationSYMMETRIC GROUP · Sₙ

A single standalone construct; nearby constructs are located against it in the Collider. Tap a field for its definition, unit, and measures.

Group theory

A reordering of a set's elements

A permutation is a bijection of a finite set onto itself, a rule that rearranges n distinguishable objects into a new order. The n! permutations of n symbols, composed by performing one and then another, form the symmetric group Sₙ, the central object of permutation-group theory, and every finite group embeds in some Sₙ. Budden's The fascination of groups develops Sₙ, its subgroups, and the structure of its elements. The referent is the abstract reordering operation together with the algebraic structure its collection carries, the same construct that a band of ringers walks out physically row by row.[1]

Unit
A bijection of a finite set; an element of Sₙ
Recovery means
Not applicable
Measured by
Characterised by cycle structure, order, and parity (even or odd)

Next

Run it through the Collider, or take the citations with you.

See how permutation sits against neighbouring constructs in the Collider, or export every reference on this page in one click.

Open in ColliderExport BibTeXReport this entry

Nearby constructs

extent1 fields · 1 citationsanchor · a standalone constructCayley graph2 fields · 4 citationsinvariant · one construct, two systemsringing2 fields · 4 citationsjingle · one word, two constructs

References

  1. Budden, F. J. (1972). The fascination of groups. Cambridge University Press. ISBN 9780521080163

Cited on this page?

Confirm your construct, or correct us.

If your work is cited behind one of these entries, you know better than we do whether we captured the meaning right. Confirm it, suggest an edit, or dispute it, and your name goes on the entry as an author who has checked it, linked to your ORCID.

Claim your construct