nilprogression

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noun

A function of the products of the elements of a nilpotent group and their inverses

Scrabble 17
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Meanings

nounnilprogression (plural nilprogressions)

plural nilprogressions

  1. mathematicsA function of the products of the elements of a nilpotent group and their inverses

    We give a structural description of the finite subsets A of an arbitrary group G which obey the polynomial growth condition forsomeboundedd and sufficiently large n, showing that such sets are controlled by (a bounded number of translates of) a coset nilprogression in a certain precise sense.

    2015, Terence Tao, “Inverse theorems for sets and measures of polynomial growth”, in arXiv

Origin

From nil + progression.

Full word history & related roots →
Cite this entry
APA

nilprogression. (n.d.). In WatkinsX Dictionary. Retrieved November 3, 2026, from https://dictionary.watkinsx.com/word/nilprogression

MLA

“nilprogression.” WatkinsX Dictionary, https://dictionary.watkinsx.com/word/nilprogression. Accessed November 3, 2026.

Chicago

WatkinsX Dictionary, s.v. “nilprogression,” accessed November 3, 2026, https://dictionary.watkinsx.com/word/nilprogression.

Source: nilprogression on Wiktionary, CC BY-SA 4.0.