Hellooooooooooo !!!

> For the automorphism group, the way to go is to construct an appropriate 
> graph (e.g. a bipartite one with the elements on one side, the non bases on 
> the other, and an edge if the element is contained in the non basis), and 
> compute the automorphism on that graph that preserves the sides of the 
> bipartition.

Some thing that ?

sage: Hypergraph.automorphism_group??

Nathann

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