Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
5778303 | Advances in Mathematics | 2017 | 18 Pages |
Abstract
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.
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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
John H. Jr., Florian Karl Richter,