Re: Steven Cullinane is a Crank
- From: "Steven H. Cullinane" <m759@xxxxxxxxxxxxxxxx>
- Date: Thu, 21 Jul 2005 07:03:48 EDT
Crankbuster wrote:
> The Rectangular Array Theorem
> by your humble superhero, Crankbuster
> ....
> Define (on my whim and fancy) the permutations
> a = (0,1,2,3,4,5,6,7,8,9,10,11,12,13,14,15,16,
> 17,18,19,20,21,22)
> b = (2,16,9,6,8)(4,3,12,13,18)(10,11,22,7,17)
> (20,15,14,19,21)
> c = (0,23)(1,22)(2,11)(3,15),(4,17)(5,9)(6,19)
> (7,13)(8,20)(10,16)(12,21)(18,14)
>
> Let G be the group generated by
> the permutations {a,b,c}...
"Bob Stewart" wrote about
crankbuster's "theorem":
> But, coming back to your assertion,
> can you come up with any relations
> between your generators a,b,c?
> This could be non trivial!
I don't know about relations between
these generators, but I do know plagiarism
when I see it.
The permutations defined on crankbuster's
"whim and fancy" may be found on page 81 of
The Theory of Groups, by Marshall Hall, Jr.,
The Macmillan Company, 1959, 11th printing,
1970.
.
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