KASH3 Ref - IsNilpotent

TU-Berlin | → | Inst. f. Mathematik | → | Algebra und Zahlentheorie | → | KASH | → | Documentation | → | Reference Manual
| KASH3 Reference Manual
Introduction | Reference Manual | Index
| search
| ### Function IsNilpotent ( grp^abl G ) -> elt-alg^boo ### Description Return `TRUE' iff `G' is nilpotent, i.e. if the lower central series terminates finitely and `[G^(i-1),G] =: G^i = {e}'. Abelian groups are apparently nilpotent. ### Examples x_A := AbelianGroup([2,3,5]); IsNilpotent(x_A); x_F := FreeAbelianGroup(2); IsNilpotent(x_F);
| Built: Mon Nov 14 21:12:39 UTC 2005 on mack