nilprogression
nounEtymology From nil + progression.
1
Mathematics, Sciences 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.2015, Terence Tao, “Inverse theorems for sets and measures of polynomial growth”, in arXiv: