Counting characters of higher degree in upper unitriangular groups, in preparation

Counting characters of small degree in upper unitriangular groups, to appear at J. Pure Appl. Algebra, PDF

On the number of constituents of products of characters , with A. Moreto, Algebra Colloq. 14, no.2, 207-208,(2007), Postscript, PDF

On distinct character degrees, Isr. J. Math, 159, 93-107, (2007), Postscript, PDF

Extendible characters and monomial groups of odd order, J. Algebra, 299, 778-819 (2006), gzipped Postscript, PDF

Homogeneous products of characters, with E. Adan-Bante, A. Moreto, J. Algebra, 274, 587-593, (2004). Postscript, PDF

Hyperbolic modules and cyclic subgroups, J. Algebra, 266, 34-50 (2003). Postscript, PDF

Normal Subgroups of Odd-order Monomial Groups. PhD Thesis, Department of Mathematics, Univ. of Illinois at Urbana-Champaign, 2001


Abstract. A finite group $G$ is called monomial if every irreducible character of $G$ is induced from a linear character of some subgroup of $G$. One of the main questions regarding monomial groups is whether or not a normal subgroup $N$ of a monomial group $G$ is itself monomial. In the case that $G$ is a group of even order, it has been proved (Dade, van der Waall) that $N$ need not be monomial. Here we show that, if $G$ is a monomial group of order $p^aq^b$, where $p$ and $q$ are distinct odd primes, then any normal subgroup $N$ of $G$ is also monomial.

Postscript (2.5 Mbytes), PDF (1.3 Mbytes).