Finite groups in \(\beta\mathbb{N}\) are trivial

DOI10.1007/PL00005907zbMath0876.22002OpenAlexW2073985800MaRDI QIDQ1362895

Yevhen Zelenyuk

Publication date: 18 September 1997

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

Full work available at URL: https://doi.org/10.1007/pl00005907

zbMATH Keywords

grouptopological spaceStone-Čech compactification\(\beta\)-compactificationcountable torsion free abelian groupleft topological group

Mathematics Subject Classification ID

Structure of general topological groups (22A05) Compactness (54D30) Extensions of spaces (compactifications, supercompactifications, completions, etc.) (54D35) Structure of topological semigroups (22A15)

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Finite groups in \(G^{LUC}\), Almost maximal spaces, Weak projectives of finite semigroups, Regular idempotents in $\beta S$, Ultrafilter semigroups generated by direct sums, Local Homomorphisms of Topological Groups