Journal of Symbolic Logic 68 (4):1354-1361 (2003)

We show that g ≤ c(Sym(ω)) where g is the groupwise density number and c(Sym(ω)) is the cofinality of the infinite symmetric group. This solves (the second half of) a problem addressed by Thomas
Keywords infinite symmetric group   chains of subgroups   cofinality of a group   cardinal invariants of the continuum   groupwise density
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DOI 10.2178/jsl/1067620191
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References found in this work BETA

Isolating Cardinal Invariants.Jindřich Zapletal - 2003 - Journal of Mathematical Logic 3 (1):143-162.
Groupwise Density and the Cofinality of the Infinite Symmetric Group.Simon Thomas - 1998 - Archive for Mathematical Logic 37 (7):483-493.

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Groupwise Density Cannot Be Much Bigger Than the Unbounded Number.Saharon Shelah - 2008 - Mathematical Logic Quarterly 54 (4):340-344.
Cardinal Invariants Related to Permutation Groups.Bart Kastermans & Yi Zhang - 2006 - Annals of Pure and Applied Logic 143 (1):139-146.

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