Action of Automorphisms on Irreducible Characters of Symplectic Groups

On the irreducible characters of Camina triples

The Camina triple condition is a generalization of the Camina condition in the theory of finite groups. The irreducible characters of Camina triples have been verified in the some special cases. In this paper, we consider a Camina triple (G,M,N)  and determine the irreducible characters of G in terms of the irreducible characters of M and G/N.  

On Finite Groups With Two Irreducible Character Degrees

Automorphisms of the Fricke Characters of Free Groups

In this note, we embed the set of all Fricke characters of a free group Fn – the set of all characters of representations of Fn into SL(C) – as an irreducible affine variety VFn ∈ C 2n−1. Using the Horowitz generating set as the indeterminates, we show that the ideal In of all polynomials in these indeterminates which vanish on VFn is generated by the Magnus relation for arbitrary octets of ele...

Restricting Unipotent Characters in Finite Symplectic Groups

We compute the irreducible constituents of the restrictions of all unipotent characters of the groups Sp4(q) and Sp6(q) and odd q to their maximal parabolic subgroups stabilizing a line. It turns out that these restrictions are multiplicity free. We also obtain general information about the restrictions of Harish-Chandra induced characters.

Irreducible characters of Sylow $p$-subgroups of the Steinberg triality groups ${}^3D_4(p^{3m})$

‎‎Here we construct and count all ordinary irreducible characters of Sylow $p$-subgroups of the Steinberg triality groups ${}^3D_4(p^{3m})$.