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A nilpotent Freiman dimension lemma

Abstract:
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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Publication date:
2011-12-18


Keywords:
Pubs id:
pubs:398460
UUID:
uuid:824269e3-7b63-417c-aa30-f7faf625e05c
Local pid:
pubs:398460
Source identifiers:
398460
Deposit date:
2013-11-16

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