Products of Characters and Finite P-Groups II

Authors

Edith Adan-Bante, University of Southern MississippiFollow

Document Type

Article

Publication Date

4-1-2004

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

Let p be a prime number. Let G be a finite p-group and χ ∈ Irr(G). Denote by the ^-χ ∈ Irr(G) complex conjugate of χ . Assume that χ(1) = pⁿ. We show that the number of distinct irreducible constituents of the product of χ^-χ is at least 2n(p−1)+1.

Comments

Published by Archiv der Mathematik. DOI: 10.1007/s00013-003-4825-7

Publication Title

Archiv der Mathematik

Volume

82

Issue

4

First Page

289

Last Page

297

Recommended Citation

Adan-Bante, E. (2004). Products of Characters and Finite P-Groups II. Archiv der Mathematik, 82(4), 289-297.
Available at: https://aquila.usm.edu/fac_pubs/3296