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Function

IsNormal ( grp^abl G, grp^abl H ) -> elt-alg^boo

Description

Return `TRUE' iff `H' is a normal subgroup of `G', false otherwise. To suffice normal subgroup property, `G' must act on the complex `H' under conjugation and leave the complex `H' fixed (H^G = H).
Note: Apparently, any subgroup of an Abelian group is normal.

Examples

G := AbelianGroup([3,5]);; H := Sub(G,G.2);; IsNormal(G,H);
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