Recent progress in subset combinatorics of groups

2018/02/09 by Protasov, Igor, Protasova, Ksenia
#Combinatorics (math.CO) #FOS: Mathematics #Group Theory (math.GR)

paper · doi:10.48550/arxiv.1802.04106

Abstract

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 some general concept of recurrence in G-spaces, new ideals in the Boolean algebra P_G of all subsets of a group G and in the Stone-\checkCech compactification βG of G , the combinatorial derivation.

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