Strongly summable ultrafilters on \({\mathbb{N}}\) and small maximal subgroups of \(\beta\) \({\mathbb{N}}\)

DOI10.1007/BF02573407zbMath0716.22002OpenAlexW2035697640MaRDI QIDQ752863

Neil Hindman

Publication date: 1991

Published in: Semigroup Forum (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/135065

zbMATH Keywords

idempotentsZFCStone-Čech compactificationconsistentcompact semigroupsstrongly summable ultrafilters

Mathematics Subject Classification ID

Consistency and independence results (03E35) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Cardinality properties (cardinal functions and inequalities, discrete subsets) (54A25) Density, gaps, topology (11B05) Structure of topological semigroups (22A15) Other combinatorial set theory (03E05)

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Nearly prime subsemigroups of \(\beta\mathbb{N}\) ⋮ Maximal groups in \(\beta S\) can be trivial

Cites Work

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• Free groups and semigroups in \(\beta\) N
• Free groups in \(\beta\) N which miss the minimal ideal
• On Strongly Summable Ultrafilters and Union Ultrafilters
• Some filters of partitions