I would love to see some results on how many random relations (of some distribution of length) you have to throw at an n-generator free group before it becomes overwhelmingly likely that the group is (a) finite, (b) trivial. On Fri, Sep 25, 2015 at 6:09 PM, Andy Latto <andy.latto@pobox.com> wrote:
On Fri, Sep 25, 2015 at 5:51 PM, Warren D Smith <warren.wds@gmail.com> wrote:
WRAP=RAP so R=1 ,
This shows W = 1, but doesn't help us with R.
PASS=PAS so S=1,
PAS isn't a homonym of PASS. Fortunately, it's a homonym of PA, so this still gives is S = 1.
WHAT=WATT hence T=1,
I think WHAT rhymes with NUT, while WATT rhymes with NOT, so these are not homonyms, at least in my dialect.
But BUT = BUTT gives T=1.
I don't see an F in your list, but RUFF = ROUGH at least gives us F^2 = 1.
So I think we still need F, R, and V
Andy.Latto@pobox.com
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