Search
Search Results
-
-
Supersolvability and nilpotency in terms of the commuting probability and the average character degree
Let p be a prime and let G be a finite group such that the smallest prime that divides | G | is p . We find sharp bounds, depending on p , for the...
-
-
Character levels and character bounds for finite classical groups
The main results of the paper develop a level theory and establish strong character bounds for finite classical groups, in the case that the...
-
Character table sudokus
It is a fun game to complete a partial character table of a finite group. We show that one can reconstruct a missing row or column from a given...
-
A description via third degree character of quasi-symmetric semiclassical forms of class two
The aim of this contribution is to give, through the third degree character, a complete description of a large family of quasi-symmetric...
-
Nonsolvable Groups with Three Nonlinear Irreducible Character Codegrees
For an irreducible character χ of a finite group G , the codegree of χ is defined as ∣ G : ker( χ )∣/ χ (1). In this paper, the authors determine finite...
-
On Character Degrees and Codegrees
In this paper, we study two open questions raised by Qian about the relations of character degrees and codegrees. We settle one completely and...
-
The character of Thurston’s circle packings
We introduce the character of Thurston’s circle packings in the hyperbolic background geometry Consequently, some quite simple criteria are obtained...
-
Character Sheaves for Classical Graded Lie Algebras
In this note we study character sheaves for graded Lie algebras arising from inner automorphisms of special linear groups and Vinberg’s type II...
-
Some Properties of Normal Subgroups Determined from Character Tables
G -character tables of a finite group G were defined in Felipe et al. (Quaest Math, 2022.
https://doi.org/10.2989/16073606/16073606.2022.2040633 ...
-
A description via second degree character of a family of quasi-symmetric forms
The purpose of this paper is to give, through the second degree character, new characterizations of a part of the family of quasi-symmetric forms. In...
-
Methods and Questions in Character Degrees of Finite Groups
We present some variations on some of the main open problems on character degrees. We collect some of the methods that have proven to be very useful...
-
On the cohomology of character stacks for non-orientable surfaces
We give a counterexample to a formula suggested by the work of Letellier and Rodriguez-Villegas (Ann l’Inst Fourier 36, 2022) for the mixed Poincaré...
-
The modular Weyl–Kac character formula
We classify and explicitly construct the irreducible graded representations of anti-spherical Hecke categories which are concentrated one degree....
-
Group Elements Whose Character Values are Roots of Unity
We classify all finite groups G that possess an element x ∈ G such that every irreducible character of G takes a root of unity value at x .