KASH3 Ref - IsNormal

TU-Berlin | → | Inst. f. Mathematik | → | Algebra und Zahlentheorie | → | KASH | → | Documentation | → | Reference Manual
| KASH3 Reference Manual
Introduction | Reference Manual | Index
| search
| ### 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);
| Built: Mon Nov 14 21:12:39 UTC 2005 on mack