Re: famous conjecture / former conjecture
- From: mareg@xxxxxxxxxxxxxxxxxxxxxxxx ()
- Date: Wed, 15 Feb 2006 21:59:56 +0000 (UTC)
In article <1139953269.905828.9320@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
pauldepstein@xxxxxxx writes:
Sorry, I know there's a similar question which makes a hard (or even
unsolved) problem. I should have said: Suppose all countable
subgroups of G are free, is G free?
I don't know the answer, and it may well be unknown. I was wondering
whether the fundamental group of the Hawaiian Earring is a candidate.
This is an uncountable group that is locally free but not free. There is
a lot of literature on this group, and I had a quick look through some
of the papers, but I could not find any direct reference to the question
of whether or all countable subgroups are free.
Derek Holt.
a quick look at
.
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