Dear GAP-Forum,
since we are very unexperienced in the use of GAP we would
like to know how to deal with the following problem:
We are given a finitly presented group G (we know how to encode
this in GAP) and want GAP to replace each generator by a product
of two new symbols (a representation of G) thus giving us a
new set of relators. Then we would like GAP to give us the
Fox-derivatives of this set of new relators.
Making a trivial example:
replace: a -> xv, b -> wy Relator: r= a^-1 b a^3 -> v^-1 x^-1 w y (x v)^3 partial Fox-derivative for x: -> -v^-1 + v^-1 x^-1 w y (1+v+v^2)
Where in the manual shall we turn pages to find how to do this?
Best regards,
Stephan Rosebrock and Cynthia Hog-Angeloni
********************************************************************** * Dr. Stephan Rosebrock * * Fakultaet III (Mathematik / Informatik) Tel: 0(49)-721-925-4275 * * Paedagogische Hochschule Karlsruhe Fax: 0(49)-721-925-4249 * * Bismarckstr. 10 * * D-76133 Karlsruhe * * Deutschland / Germany home: 0(49)-7249-953651 * * * * e-mail: rosebrock@PH-karlsruhe.de * * home page: http://www.ph-karlsruhe.de/MATH/rb/ * **********************************************************************
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