Dear forum,

If I have a group created by the set of generators and an element of this
group, how can I express this element via this particular set of generators
?

For example, if we look on the example of analysing Rubic's Cube at GAP
site, here
we create a group by 6 permutations, and then for every state of puzzle we
can
perform membership test. In this case representing of the permutation via
that 6 generators means solving the puzzle.

Sincerely yours,
Alexander B. Konovalov,
Zaporozhye State University, Zaporozhye, Ukraine
E-mail: konovalov@member.ams.org
http://myprofile.cos.com/a_konovalov