A nilpotent Freiman dimension lemma

Details A nilpotent Freiman dimension lemma A nilpotent Freiman dimension lemma

2011-12-18

arxiv.org/abs/1112.4174v1

Mathematics

Combinatorics

8 pages, submitted to special volume of EJC in honour of Yahya Ould Hamidoune

Scientific paper

We prove that a K-approximate subgroup of an arbitrary torsion-free nilpotent
group can be covered by a bounded number of cosets of a nilpotent subgroup of
bounded rank, where the bounds are explicit and depend only on K. The result
can be seen as a nilpotent analogue to Freiman's dimension lemma.

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