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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

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