Dear Nilo de Rook,

> To the point. I am looking for ( the papers which contain ) the algorithms
> on which GAP has been built, restricted to Group Theory, Representation
> Theory, Vector Spaces and Matrices. 

The page 

http://www.gap-system.org/Doc/references.html

of  the   GAP  website  gives   you  an  overview  of   literature  on
computational group theory. The book  by Derek Holt is to be specially
recommended.

Kind regards   Joachim Neubueser

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