Basic Characters of the Unitriangular Group (for Arbitrary Primes)

@inproceedings{Andr2002BasicCO,
title={Basic Characters of the Unitriangular Group (for Arbitrary Primes)},
author={Carlos A M Andr{\'e} and Stephen D. Smith},
year={2002}
}

Let Un(q) denote the (upper) unitriangular group of degree n over the finite field Fq with q elements. In this paper we consider the basic (complex) characters of Un(q) and we prove that every irreducible (complex) character of Un(q) is a constituent of a unique basic character. This result extends a previous result which was proved by the author under the assumption p ≥ n, where p is the characteristic of the field Fq. Let p be a prime number, let q = p (e ≥ 1) be a power of p and let Fq… CONTINUE READING