> On Dec 19, 2017, at 7:44 PM, Rubey Martin <martin.ru...@tuwien.ac.at> wrote:
> 
>> In the same way that nasty can calculate both graph automorphism and graph 
>> canonical image, I am working on extending Partition Backtrack to solve both 
>> the conjugacy problem and the canonical image problem for groups, expect a 
>> release next year.
> 
> This sounds like wonderful news!
> 
>> However, having a “sensible string” is probably impossible. Nauty doesn’t 
>> produce a “sensible string” to describe the automorphism of graphs.
> 
> I should have been clearer: a short list of generators for the representative 
> of the conjugacy class would be just fine.  I am guessing that that's not 
> impossible, right?

Producing some small list is easy, GAP does it all the time.

I don’t know about producing a small repeatable list (that is, a function which 
always produce the same list regardless of the generators you start with). I 
suspect coming up with something involving stabilizer chains is possible.

Chris
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