[GAP Forum] How to define own group action in GAP?

Alexander Hulpke hulpke at math.colostate.edu
Mon Sep 30 16:36:58 BST 2013



Dear Forum,

On Sep 24, 2013, at 9/24/13 4:31, Laxmi Kant Mishra <lkmp02 at gmail.com> wrote:

> Dear forum,
> I have a group and a set. I wish to define an action the group on the set
> in my own way and wish to calculate its orbits and stabilizers. Is it
> possible? What is process?

Basically you would have to write a function that implements your action.
The manual chapter on group actions
http://www.gap-system.org/Manuals/doc/ref/chap41.html
describes this.

Please note that for any user-defined action the cost (memory and run time) of a stabilizer calculation is roughly proportional to the stabilizer index.

Regards,

    Alexander Hulpke





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