Reinhard Knörr
On Frobenius and tensor induction
Preprint series: Preprints aus dem Fachbereich Mathematik, Universität Rostock
20C10 Integral representations of finite groups
20C15 Ordinary representations and characters
20C20 Modular representations and characters
Abstract: Tensor inducing a Frobenius induced
character leads to a sum of characters
where each summand is given by first tensor
induction, then Frobenius induction.
This qualitative statement is made precise.
As an example, tensor induction of monomial
characters is considered.
Keywords: group representation, character theory, tensor induction