The cofinality of the infinite symmetric group and groupwise density
Brendle, Jörg ; Losada, Maria
J. Symbolic Logic, Tome 68 (2003) no. 1, p. 1354-1361 / Harvested from Project Euclid
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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.
Publié le : 2003-12-14
Classification:  infinite symmetric group,  chains of subgroups,  cofinality of a group,  cardinal invariants of the continuum,  groupwise density,  03E17,  20B30 
@article{1067620191,
     author = {Brendle, J\"org and Losada, Maria},
     title = {The cofinality of the infinite symmetric group and groupwise density},
     journal = {J. Symbolic Logic},
     volume = {68},
     number = {1},
     year = {2003},
     pages = { 1354-1361},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1067620191}
}

Brendle, Jörg; Losada, Maria. The cofinality of the infinite symmetric group and groupwise density. J. Symbolic Logic, Tome 68 (2003) no. 1, pp.  1354-1361. http://gdmltest.u-ga.fr/item/1067620191/