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Finite groups in Stone–Čech compactifications
Author(s) -
Zelenyuk Yevhen
Publication year - 2008
Publication title -
bulletin of the london mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 2.396
H-Index - 48
eISSN - 1469-2120
pISSN - 0024-6093
DOI - 10.1112/blms/bdn015
Subject(s) - mathematics , compactification (mathematics) , semigroup , pure mathematics , combinatorics
Let κ be an infinite cardinal and let G = ⊕ κ ℤ 2 . Now let β G be the Stone–Čech compactification of G as a discrete semigroup, and let ℍ κ = ∩ α<κ c ℓ β G { x ∈ G ∖{0}:minsupp ( x )⩾α}. We show that the semigroup ℍ κ contains no nontrivial finite group.