vexillary permutation

noun

A permutation μ of the positive integers containing no subpermutation isomorphic to the permutation (2143); in other words, there do not exist four numbers i < j < k < l with μ(j) < μ(i) < μ(l) < μ(k).

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Meanings

nounvexillary permutation (plural vexillary permutations)

plural vexillary permutations

  1. mathematicsA permutation μ of the positive integers containing no subpermutation isomorphic to the permutation (2143); in other words, there do not exist four numbers i < j < k < l with μ(j) < μ(i) < μ(l) < μ(k).

Origin

So called because they are related to flags of modules.

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Cite this entry
APA

vexillary permutation. (n.d.). In WatkinsX Dictionary. Retrieved November 4, 2026, from https://dictionary.watkinsx.com/word/vexillary%20permutation

MLA

“vexillary permutation.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/vexillary%20permutation. Accessed November 4, 2026.

Chicago

WatkinsX Dictionary, s.v. “vexillary permutation,” accessed November 4, 2026, https://dictionary.watkinsx.com/word/vexillary%20permutation.

Source: vexillary permutation on Wiktionary, CC BY-SA 4.0.