Fast Fourier analysis for over a finite field and related numerical experiments.
Filtrations, Stable Clifford Theory and Group-Graded Rings and Modules.
Finite groups whose character degree graphs coincide with their prime graphs
In the literature, there are several graphs related to a finite group . Two of them are the character degree graph, denoted by , and the prime graph, . In this paper we classify all finite groups whose character degree graphs are disconnected and coincide with their prime graphs. As a corollary, we find all finite groups whose character degree graphs are square and coincide with their prime graphs.
Finite groups with a unique nonlinear nonfaithful irreducible character
In this paper, we consider finite groups with precisely one nonlinear nonfaithful irreducible character. We show that the groups of order 16 with nilpotency class 3 are the only -groups with this property. Moreover we completely characterize the nilpotent groups with this property. Also we show that if is a group with a nontrivial center which possesses precisely one nonlinear nonfaithful irreducible character then is solvable.
Finite groups with eight non-linear irreducible characters
This Note contains the complete list of finite groups, having exactly eight non-linear irreducible characters. In section 4 we consider in full details some typical cases.
Finite Groups with Small Conjugacy Classes.
Finite groups with two rows which differ in only one entry in character tables
Let be a finite group. If has two rows which differ in only one entry in the character table, we call an RD1-group. We investigate the character tables of RD1-groups and get some necessary and sufficient conditions about RD1-groups.
Finite -groups with exactly two nonlinear non-faithful irreducible characters
Let be a finite group with exactly two nonlinear non-faithful irreducible characters. We discuss the properties of and classify finite -groups with exactly two nonlinear non-faithful irreducible characters.
Fonction de Möbius d'un groupe fini et anneau de Burnside.
Fonctions L d'Artin
Fourier transforms with respect to monomial representations.
Functional Equation for Spherical Functions on Finite Groups.