Title

Induction of Characters and Finite P-Groups

Document Type

Article

Publication Date

9-1-2006

Department

Mathematics

Abstract

Let G be a finite p-group, where pis an odd prime number, H a subgroup of G and theta is an element of Irr(H) an irreducible character of H. Assume also that vertical bar G : H vertical bar = p(2). Then the character theta(G) of G induced by theta is either a multiple of an irreducible character of G, or has at least p+1/2 distinct irreducible constituents.

Publication Title

Glasgow Mathematical Journal

Volume

48

First Page

491

Last Page

502