Generalisations of the Tits representation.
Generalizations of partial difference sets from cyclotomy to nonelementary Abelian -groups.
Generalizations of the standard Artin representation are unitary.
Generalized Clifford Correspondences for Group Characters.
Geometry of pseudocharacters.
Group actions on Cartesian powers with applications to represenation theory.
Group representations and integrality.
Groups All of Whose Subgroups are M-Groups.
Groups satisfying the two-prime hypothesis with a composition factor isomorphic to PSL for
Let be a finite group and write for the degree set of the complex irreducible characters of . The group is said to satisfy the two-prime hypothesis if for any distinct degrees , the total number of (not necessarily different) primes of the greatest common divisor is at most . We prove an upper bound on the number of irreducible character degrees of a nonsolvable group that has a composition factor isomorphic to PSL for .
Groups where each element is conjugate to its certain power
This paper deals with a rationality condition for groups. Let n be a fixed positive integer. Suppose every element g of the finite solvable group is conjugate to its nth power g n. Let p be a prime divisor of the order of the group. We conclude that the multiplicative order of n modulo p is small, or p is small.
Groups with a Steinberg Character.
Groups with only two nonlinear non-faithful irreducible characters
We determine the groups with exactly two nonlinear non-faithful irreducible characters whose kernels intersect trivially.
Gruppendeterminant