On 01/12/2015 10:16 PM, William Stein wrote:
On Mon, Jan 12, 2015 at 12:30 PM, Simon King <simon.k...@uni-jena.de
<mailto:simon.k...@uni-jena.de>> wrote:
Hi!
On 2015-01-12, David Joyner <wdjoy...@gmail.com
<mailto:wdjoy...@gmail.com>> wrote:
> Depends on the group:
>
> ...
>
> The simplest explanation would be to use the small groups database
> which can be installed into Sage, but it is not open-source licensed.
For example:
sage:
[PermutationGroup(gap.SmallGroup(16,i).IsomorphismPermGroup().Range().GeneratorsOfGroup())
for i in range(1,15)]
Note that an explicit transformation to a permutation group is needed.
Simply doing ".sage()" on a gap group doesn't work.
Yes, I tried .sage() but didn't think of [PermutationGroup(...)], and
didn't know about Range(), and didn't know about GeneratorsOfGroup().
Another functionality that rarely works is the gap_group arg:
sage: PermutationGroup(gap_group=gap.SymmetricGroup(4))
Permutation Group with generators [(1,2), (1,2,3,4)]
sage: PermutationGroup(gap_group=gap.DihedralGroup(4))
#Boom!
Best regards,
TB
In any case, it needs database_gap installed, and it certainly isn't
obvious how to do.
Best regards,
Simon
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William Stein
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University of Washington
http://wstein.org
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