A modular branching rule for the generalized symmetric groups
Abstract We give a modular branching rule for certain wreath products as a generalization of Kleshchev's modular branching rule for the symmetric groups. Our result contains a modular branching rule for the complex reflection groups G ( m , 1 , n ) , which are often called the generalized symmetric groups, in splitting fields for Z / m Z . Especially for m = 2 , which is the case of the Weyl groups of type B, we can give a modular branching rule in any field.