Results 1 to 10 of about 795 (65)
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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Detecting the prime divisors of the character degrees and the class sizes by a subgroup generated with few elements [PDF]
, 2018 We prove that every finite group G contains a three-generated subgroup H with the following property: a prime p divides the degree of an irreducible character of G if and only if it divides the degree of an irreducible character of H: There is no ...
Lucchini, Andrea
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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 +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 +2 more
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Quantitative equidistribution for certain quadruples in quasi-random groups [PDF]
, 2015 In a recent paper (arXiv:1211.6372), Bergelson and Tao proved that if $G$ is a $D$-quasi-random group, and $x$,$g$ are drawn uniformly and independently from $G$, then the quadruple $(g,x,gx,xg)$ is roughly equidistributed in the subset of $G^4$ defined ...
Austin, Tim
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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 +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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