Abstract
We show that there does not exist a symmetric version of Hindman's Theorem, or more explicitly, that the property of containing a symmetric IP-set is not divisible. We consider several related dynamics questions.
Recommended Citation
E. Akin and E. Glasner, "Is There a Symmetric Version of Hindman's Theorem?," Journal of Combinatorial Theory Series A, vol. 142, pp. 29 - 43, Elsevier, Aug 2016.
The definitive version is available at https://doi.org/10.1016/j.jcta.2016.03.002
Department(s)
Mathematics and Statistics
Publication Status
Open Archive
Keywords and Phrases
Difference sets; Hindman theorem; IP-sets; Mild mixing; Ramsey theorem; SIP-sets
International Standard Serial Number (ISSN)
1096-0899; 0097-3165
Document Type
Article - Journal
Document Version
Citation
File Type
text
Language(s)
English
Rights
© 2026 Elsevier, All rights reserved.
Publication Date
01 Aug 2016
