Timeline for Do there exist acyclic simple groups of arbitrarily large cardinality?

8 events

when toggle format	what		by	license	comment
Dec 21, 2019 at 10:14	answer	added	YCor		timeline score: 6
Dec 18, 2019 at 23:42	history	became hot network question
Dec 18, 2019 at 16:24	answer	added	Tim Campion		timeline score: 17
Dec 18, 2019 at 15:57	history	edited	Tim Campion	CC BY-SA 4.0	added 11 characters in body
Dec 18, 2019 at 15:53	comment	added	Tim Campion		@JoelDavidHamkins Ah, good point. I should definitely specify "non-isomorphic", and indeed, I really do just mean "arbitrarily large". I suppose I tend to forget about this subtlety -- I think my usual implicit mathematical metatheory is ZFC + universes, but with "class" meaning "bigger than some fixed universe".
Dec 18, 2019 at 15:51	comment	added	Joel David Hamkins		This is probably unimportant, but your formulation of the question is sensitive to class-theoretic issues. I guess you mean a proper class of pairwise non-isomorphic such groups? Depending on your set-theoretic framework and issue of global choice, this is not necessarily the same as saying that there are arbitrarily large such groups (since you have to pick them, which is not AC but global AC). But with global choice, this issue evaporates. But perhaps simpler just to ask, as in your title: are there arbitrarily large such groups?
Dec 18, 2019 at 15:46	history	edited	Tim Campion	CC BY-SA 4.0	added 82 characters in body
Dec 18, 2019 at 15:40	history	asked	Tim Campion	CC BY-SA 4.0