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Faster function for working with cosets

asked 2016-07-25 11:49:42 -0600

jaebond gravatar image

I would like to get the cosets of a non-normal subgroup and in the documentation for the .cosets() method here:

PermutationGroup_generic.cosets

there is a Note: that says

Sage and GAP provide more sophisticated functions for working quickly with cosets of larger groups.

but doesn't mention what these functions are. I was hoping that someone could point me to these functions.

If it makes a difference, I want to iterate over a set of coset representatives and it will all be done in a permutation group.

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answered 2016-07-28 02:08:54 -0600

Here is an example of how to get a list of coset representatives:

sage: g=libgap.AlternatingGroup(5)
sage: h=g.Stabilizer(1)
sage: [x.Representative() for x in g.RightCosets(h)]
[(), (1,5,4), (1,4,5), (1,2,5), (1,3,5)]

Please feel free to ask for more details.

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Asked: 2016-07-25 11:49:42 -0600

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Last updated: Jul 28 '16