[GAP Forum] Set

[aasma shaheen]

Dear forum members,

I want to calculate collection of all subsets of a set S ( cordinality of S
 is more than 30) whose intersection contains
 only a particular element say 'a' of S and union gives  S.(something like
partition of S but in that case intersection will b empty set but here
intersection should b the singelton set {a}.
as Cordinality of S is to large we cannot find all subset (i-e 2^(41) is
very large number).
If any one can help me in this problem i vill b very thankful.

Regards!
Aasma