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Dear Forum:

I have two questions:

1. Given elements g1,...,gm in the symmetric group Sn on n letters,

let G:=Group(g1,...,gm). Can one use GRAPE to construct the Cayley

graph for G relative to the g1,...,gm? (Ie, the vertices are labeled

by the elements of G and two vertices are connected by an edge (I

don't care about directions) if and only if one is g.i times the

other for some 1 <= i <= m.)

2. I have tried using the share package AbStab.g to ``solve'' the

masterball, a Rubik's cube-like puzzle. (AbStab.g is a GAP share

package.) I've implemented the masterball in MAPLE for the

purpose of testing out moves, etc. The problem is that sometimes

the AbStab.g ``solution'' works in MAPLE and sometimes it doesn't.

My question: Has anyone tested AbStab.g out on the Rubik's cube

and checked their result on the cube or a computer simulation of the

cube? Basically, I'm wondering if the problem is with me, GAP, or MAPLE.

Also, I'm interested in the mathematics behind the AbStab.g

package, so any references would be appreciated.

- David Joyner, wdj@sma.usna.navy.mil

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