Recent progress in Subset Combinatorics of Groups

• Published in: Український математичний вісник
• Date: 2017
• ISSN: 1810-3200
• Main Authors: Protasov, I.V., Protasova, K.D.
• Format: Article
• Language: English
• Published: Інститут прикладної математики і механіки НАН України 2017
• Online Access: https://nasplib.isofts.kiev.ua/handle/123456789/169376
• Journal Title: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Cite this: Recent progress in Subset Combinatorics of Groups / I.V. Protasov, K.D. Protasova // Український математичний вісник. — 2017. — Т. 14, № 4. — С. 532-547. — Бібліогр.: 28 назв. — англ.

We systematize and analyze some results obtained in Subset Combinatorics of G groups after publications the previous surveys [1–4]. The main topics: the dynamical and descriptive characterizations of subsets of a group relatively their combinatorial size, Ramsey-product subsets in connection with so...