International Journal of Mathematics and Mathematical Sciences
Volume 9 (1986), Issue 3, Pages 589-596
doi:10.1155/S0161171286000741
Character induction in p-groups
Department of Mathematical Sciences, Loyola University, New Orleans 70118, LA, USA
Received 16 September 1985; Revised 3 October 1985
Copyright © 1986 Teresa L. Santa Coloma. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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.