Double Coset Decompositions and Computational Harmonic Analysis on Groups.
Dynamics on Character Varieties and Malgrange irreducibility of Painlevé VI equation
We consider representations of the fundamental group of the four punctured sphere into . The moduli space of representations modulo conjugacy is the character variety. The Mapping Class Group of the punctured sphere acts on this space by symplectic polynomial automorphisms. This dynamical system can be interpreted as the monodromy of the Painlevé VI equation. Infinite bounded orbits are characterized: they come from -representations. We prove the absence of invariant affine structure (and invariant...
Ein Induktionssatz für rationale Charaktere von nilpotenten Gruppen.
Ein Sylowsatz für endliche p-Untergruppen von GL (n,Z).
Eine Invariante endlicher Gruppen.
Equivalent conditions for p-nilpotence
In the first part of this paper we prove without using the transfer or characters the equivalence of some conditions, each of which would imply p-nilpotence of a finite group G. The implication of p-nilpotence also can be deduced without the transfer or characters if the group is p-constrained. For p-constrained groups we also prove an equivalent condition so that should be p-nilpotent. We show an example that this result is not true for some non-p-constrained groups. In the second part of the...
Explicit Brauer induction.
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.
Generalisations of the Tits representation.