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Has anyone worked with higher order projective planes?

asked 2015-01-11 17:59:14 -0500

jrcyb9 gravatar image

I'm trying to construct the Hughes plane in Sage and am just wondering how much time it might take for the program to generate the automorphism group. I've let it run for a few hours, and still nothing to show as of yet. Any help would be appreciated!

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answered 2015-01-11 19:29:36 -0500

Nathann gravatar image

updated 2015-01-11 19:31:02 -0500

Hello !

There is an ongoing attempt to interface Sage with bliss [1]. The point of this is precisely to make the computation of automorphism groups faster.

The ways to solve the problem that you meet:

  • Apply those in-development patches to your distribution of Sage
  • Help us by [reviewing those patches/write the code that is still needed] so that they are integrated into Sage faster

I would also be very glad if you could contribute to Sage your implementation of those projective planes. We are never enough to work on the 'combinatorial designs' features of Sage ;-)

Nathann

[1] http://www.tcs.hut.fi/Software/bliss/

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Thanks! I'll take a look and see if this helps me at all! The only thing I'm looking to do is see if I can write a function that will give me the stabilizer of one of the blocks of the projective plane. Running into some snags there, and can't do anything if I don't have the automorphism group first. But thanks so much! I'll see if these help!

jrcyb9 gravatar imagejrcyb9 ( 2015-01-11 19:52:45 -0500 )edit

Hmmmm... Yes it seems that Sage can only handle point-stabilizers at the moment. Exposing GAP's feature is not too hard though. We should probably chat about it by email: nathann.cohen@gmail.com.

Nathann gravatar imageNathann ( 2015-01-11 20:00:06 -0500 )edit

That feature is now in needs_review: http://trac.sagemath.org/ticket/17621

Nathann gravatar imageNathann ( 2015-01-11 20:59:43 -0500 )edit

Real quick, will this work with the online version of Sage? I haven't worked with stuff like this very much, and I want to save myself time by making sure I start out in the right place.

jrcyb9 gravatar imagejrcyb9 ( 2015-01-13 21:03:41 -0500 )edit

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Asked: 2015-01-11 17:59:14 -0500

Seen: 60 times

Last updated: Jan 11 '15