> < ^ Date: Thu, 28 Feb 2002 11:05:09 -0700 (MST)
> < ^ From: Alexander Hulpke <hulpke@math.colostate.edu >
> < ^ Subject: Re: permutations of cosets

Dear Forum,

Barry Monson wrote:

Suppose G is a permutation group, say with
generators, a,b,c, and with some subgroup
H. How can I get permutations representing the
action of G on the right cosets of H?
I realize this must be a trivial command or two,
but somehow I cannot make Gap do the job.

You want to use `Action' (to get an image group) or `ActionHomomorphism' (to
get a homomorphism to a permutation group). Thus


In fact (since this is such a prominent task) there is a better performing
version, that acts only on representatives of the cosets:


Best wishes,

Alexander Hulpke

-- Colorado State University, Department of Mathematics,
Weber Building, Fort Collins, CO 80523, USA
email: hulpke@math.colostate.edu, Phone: ++1-970-4914288

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