[net.math] A group theory problem

gsmith@cartan.BERKELEY.EDU (Gene Ward Smith) (01/26/86)

  Can anyone give a formula for the number of normal subgroups h
of g = Z/nZ wr (Z/nZ)* where (Z/nZ)* = aut(Z/nZ) = the unit group of
Z/nZ; where I want g/h isomorphic to Z/nZ (that is, find the number of
normal subgroups in the above wreath product whose quotient group is Z/nZ).