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Apr 13, 2017 at 12:57 history edited CommunityBot
replaced http://mathoverflow.net/ with https://mathoverflow.net/
May 29, 2015 at 12:57 comment added YCor About (2): The sentence $\exists x\forall y_1,\dots,y_k:w(x,y_1,\dots,y_k)=1$ holds in every group iff it holds in a free group of countable rank, iff $w(1,y_1,\dots,y_k)=1$ as abstract word. I'm not sure if the same conclusion if the above sentence is only supposed to hold in every finite group.
May 29, 2015 at 3:19 comment added owb Yes, you are right. Also, I guess that, probably, answers to these questions are negative.
May 29, 2015 at 2:45 comment added Bjørn Kjos-Hanssen This time it will have to involve non-abelian groups it seems.
May 29, 2015 at 1:08 history edited Bjørn Kjos-Hanssen CC BY-SA 3.0
some links and formatting and ø
May 28, 2015 at 22:02 history asked owb CC BY-SA 3.0