Let g and h be finite cyclic point groups. then g h is cyclic if and only if ig| and |h| are relatively prime. true false the order of an element in a 1 point d

Let G and H be finite cyclic point groups. Then G H is cyclic if and only if IG| and |H| are relatively prime. True False The order of an element in a 1 point direct product of a finite number of finite groups is the least common multiple of the orders of the components of the element. In symbols.(g1, 92 gn)| = Icm(lg1|. Ig2l.... gnl) OTrue OFalse