25.68 SystemNormalizer

SystemNormalizer( G )

SystemNormalizer returns the system normalizer of a Sylow system of the group G.

The system normalizer of a Sylow system is the intersection of all normalizers of subgroups in the Sylow system in G.

    gap> SystemNormalizer( s4 );
    Subgroup( s4, [ a ] )
    gap> SystemNormalizer( D );
    Subgroup( z5Xs4, [ a, b1 ] )

Previous Up Top Next
Index