nilprogression
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English
Etymology
From nil + progression.
Noun
nilprogression (plural nilprogressions)
- (mathematics) A function of the products of the elements of a nilpotent group and their inverses
- 2015, Terence Tao, “Inverse theorems for sets and measures of polynomial growth”, in arXiv:
- We give a structural description of the finite subsets of an arbitrary group which obey the polynomial growth condition for some bounded and sufficiently large , showing that such sets are controlled by (a bounded number of translates of) a coset nilprogression in a certain precise sense.
