Induction of Characters and Finite p-Groups

Authors

Edith Adan-Bante, University of Southern MississippiFollow

Document Type

Article

Publication Date

9-1-2006

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

Let G be a finite p-group, where p is an odd prime number, H be a subgroup of G and θ ∈ Irr(H) be an irreducible character of H. Assume also that | G : H | = p². Then the character θ^G of G induce by θ is either a multiple of an irreducible character of G, or has at least ^p+1/₂ distinct irreducible constituents.

Comments

This is the peer reviewed version of the following article:
"Induction of Characters and Finite p-Groups," which has been published in final form at 10.1017/S0017089506003181.

Publication Title

Glasgow Mathematical Journal

Volume

48

First Page

491

Last Page

502

Recommended Citation

Adan-Bante, E. (2006). Induction of Characters and Finite p-Groups. Glasgow Mathematical Journal, 48, 491-502.
Available at: https://aquila.usm.edu/fac_pubs/2284