21.12 Base for Permutation Groups

Base( G )

Base returns a base for the permutation group G. If a stabilizer chain for G is already known, Base returns the base for this stabilizer chain. Otherwise a stabilizer chain for the lexicographically smallest reduced base is computed and its base is returned (see Stabilizer Chains).

    gap> s4 := Group( (1,2,3,4), (1,2) );;
    gap> Base( s4 );
    [ 1, 2, 3 ]  

Previous Up Top Next
Index