Results 1 to 10 of about 46 (41)

The fields of values of characters of degree not divisible by p

Forum of Mathematics, Pi, 2021
We study the fields of values of the irreducible characters of a finite group of degree not divisible by a prime p. In the case where $p=2$, we fully characterise these fields.
Gabriel Navarro, Pham Huu Tiep
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The construction of nuclei for normal constituents of Bπ-characters

Open Mathematics, 2023
Let GG be a π\pi -separable group for some set π\pi of primes, let χ∈Bπ(G)\chi \in {B}_{\pi }\left(G) and let N◃GN\hspace{0.33em}\triangleleft \hspace{0.33em}G. In this article, we explore how to construct a nucleus for an irreducible constituent of χN{\
Jin Jun, Zhang Junwei
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On cospectrality of gain graphs

Special Matrices, 2022
We define GG-cospectrality of two GG-gain graphs (Γ,ψ)\left(\Gamma ,\psi ) and (Γ′,ψ′)\left(\Gamma ^{\prime} ,\psi ^{\prime} ), proving that it is a switching isomorphism invariant.
Cavaleri Matteo, Donno Alfredo
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The Asymptotic Statistics of Random Covering Surfaces

Forum of Mathematics, Pi, 2023
Let $\Gamma _{g}$ be the fundamental group of a closed connected orientable surface of genus $g\geq 2$ . We develop a new method for integrating over the representation space $\mathbb {X}_{g,n}=\mathrm {Hom}(\Gamma _{g},S_{n})$ , where
Michael Magee, Doron Puder
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CHARACTER LEVELS AND CHARACTER BOUNDS

Forum of Mathematics, Pi, 2020
We develop the concept of character level for the complex irreducible characters of finite, general or special, linear and unitary groups. We give characterizations of the level of a character in terms of its Lusztig label and in terms of its degree ...
ROBERT M. GURALNICK, MICHAEL LARSEN, PHAM HUU TIEP   +2 more
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OPTIMAL LINE PACKINGS FROM FINITE GROUP ACTIONS

Forum of Mathematics, Sigma, 2020
We provide a general program for finding nice arrangements of points in real or complex projective space from transitive actions of finite groups. In many cases, these arrangements are optimal in the sense of maximizing the minimum distance.
JOSEPH W. IVERSON, JOHN JASPER, DUSTIN G. MIXON   +2 more
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A new characterization of L2(p2)

Open Mathematics, 2020
For a positive integer n and a prime p, let np{n}_{p} denote the p-part of n. Let G be a group, cd(G)\text{cd}(G) the set of all irreducible character degrees of GG, ρ(G)\rho (G) the set of all prime divisors of integers in cd(G)\text{cd}(G), V(G)=pep(G)|
Wang Zhongbi, Qin Chao, Lv Heng, Yan Yanxiong, Chen Guiyun   +4 more
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THE ${\it\alpha}$ -INVARIANT AND THOMPSON’S CONJECTURE

Forum of Mathematics, Pi, 2016
In 1981, Thompson proved that, if $n\geqslant 1$ is any integer and $G$
PHAM HUU TIEP
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Height zero characters and Galois automorphisms

Forum of Mathematics, Sigma
Let G be a finite group and let p be a prime. In this paper, we prove a strengthened version of Brauer’s height zero conjecture for the principal p-block of G that takes the action of a certain group of Galois automorphisms into account.
Alexander Moretó, Noelia Rizo, Gabriel A. L. Souza   +2 more
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Inductive local-global conditions and generalised Harish-Chandra theory

Forum of Mathematics, Sigma
We study new properties of generalised Harish-Chandra theory aiming at explaining the inductive local-global conditions for finite groups of Lie type in nondefining characteristic.
Damiano Rossi
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