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research article
Revisiting the nilpotent polynomial Hales–Jewett theorem
December 1, 2017
Answering a question posed by Bergelson and Leibman in [6], we establish a nilpotent version of the Polynomial Hales–Jewett Theorem that contains the main theorem in [6] as a special case. Important to the formulation and the proof of our main theorem is the notion of a relative syndetic set (relative with respect to a closed non-empty subsets of βG) [25]. As a corollary of our main theorem we prove an extension of the restricted van der Waerden Theorem to nilpotent groups, which involves nilprogressions.
Type
research article
ArXiv ID
1607.05320
Authors
Publication date
2017-12-01
Published in
Volume
321
Start page
269
End page
286
Peer reviewed
REVIEWED
EPFL units
Available on Infoscience
November 26, 2021
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