International Journal of Mathematics and Mathematical Sciences
Volume 9 (1986), Issue 3, Pages 589-596
doi:10.1155/S0161171286000741

Character induction in p-groups

Teresa L. Santa Coloma

Department of Mathematical Sciences, Loyola University, New Orleans 70118, LA, USA

Abstract

Let G be a finite p-group and let χ be an irreducible character of G. Then χ is monomial; that is, χ=λG, where λ is a linear character of some subgroup of G. We are interested in locating subgroups of G which induce the character χ.