Nilprogression

noun

noun ·Rare ·Advanced level

Definitions

Noun
  1. 1
    A 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."

Example

More examples

"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."

Etymology

From nil + progression.

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Data sourced from Wiktionary, WordNet, CMU, and other open linguistic databases. Updated March 2026.