I have an algorithm that runs quickly for groups of order 18 or less.

On Wednesday, December 20, 2023 at 11:56:18 AM UTC-6 [email protected] 
wrote:

> Unfortunately, I don't think that there is any capability like 
> AllSubgroups in GAP in SymPy
> GAP (ref) - Chapter 39: Groups (gap-system.org) 
> <https://docs.gap-system.org/doc/ref/chap39.html#X80399CD4870FFC4B>
> I also tried to find solutions, but it is not very trivial at least 
> because naive solution by definition (just to test all subsets of groups) 
> isn't feasibily fast enough even for small textbook problems.
> So we need to implement some real algorithm for this
>
>
> On Saturday, December 16, 2023 at 11:18:18 AM UTC+3 [email protected] 
> wrote:
>
> I probably should have mentioned that I have written a script for this 
> that identifies inverses and then checks subsets using the one-step 
> subgroup test.
>
> On Tuesday, December 12, 2023 at 5:51:06 AM UTC-6 Douglas Gray wrote:
>
> Hey, Everybody.
>
> Let me say, first, that I am a mathematician, not a comp-sci person. I am 
> using sympy.combinatorics.named_groups to import different groups. Has 
> anyone out there written a code to identify all subgroups of a given group?
>
>

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