Dear all,

I would like to know how to obtain the explicit decomposition of some element 
of an ideal of a group ring expressed on the generators of this ideal. More 
precisely, assume that QG is a group ring with G a finite group (in my case, 
constructed as the quotient of a free group) and that a1, a2 and b are elements 
of QG. I can do the following:

gap> I = a1*QG + a2*QG;;
gap> b in I;
true

This tells me that b is in the ideal generated by a1 and a2. Is there a way to 
obtain the explicit decomposition of b in terms of a1 and a2? 

Thanks for your help,

X.-F. Roblot
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