Dear Forum,

> On Jan 18, 2017, at 6:12 AM, ekpen ogiugo <ekpenogi...@gmail.com> wrote:
> 
> Thanks
> We want  to construct all chains starting from trivial group to the whole
> group G.
> For example SymmetricGroup(3) has 10 such chains ending in G

What will not work is to simply pluralize a function name and expect that it 
will create all objects in a sensible way.

My suggestion would be to determine all subgroups, create the directed graph 
given by inclusion, and then systematically build all paths. This is something 
you would have to code yourself.

Regards,

   Alexander Hulpke


-- Colorado State University, Department of Mathematics,
Weber Building, 1874 Campus Delivery, Fort Collins, CO 80523-1874, USA
email: hul...@colostate.edu, Phone: ++1-970-4914288
http://www.math.colostate.edu/~hulpke



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