Results 41 to 50 of about 6,235 (209)

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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Group Extensions with Infinite Conjugacy Classes [PDF]

Confluentes Mathematici, 2017
We characterize the group property of being with infinite conjugacy classes (or icc , i.e. infinite and of which all conjugacy classes except { 1
openaire   +3 more sources

Graph Coverings for Investigating Non Local Structures in Proteins, Music and Poems

Sci, 2021
We explore the structural similarities in three different languages, first in the protein language whose primary letters are the amino acids, second in the musical language whose primary letters are the notes, and third in the poetry language whose ...
Michel Planat, Raymond Aschheim, Marcelo M. Amaral, Fang Fang, Klee Irwin   +4 more
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𝑞-Conjugacy classes in loop groups [PDF]

Proceedings of the American Mathematical Society, 2012
This paper discusses the twisted conjugacy classes in loop groups. We restrict to classical groups and give some explicit classifications.
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Index graphs of finite permutation groups

Indonesian Journal of Combinatorics, 2022
Let G be a subgroup of Sn. For x ∈ G, the index of x in G is denoted by ind x is the minimal number of 2-cycles needed to express x as a product. In this paper, we define a new kind of graph on G, namely the index graph and denoted by Γind(G). Its vertex
Haval Mohammed Salih
doaj   +1 more source

Conjugacy classes of finite groups and graph regularity [PDF]

, 2013
Given a finite group $G$, denote by $\Gamma(G)$ the simple undirected graph whose vertices are the distinct sizes of noncentral conjugacy classes of $G$, and set two vertices of $\Gamma(G)$ to be adjacent if and only if they are not coprime numbers.
M. Bianchi, R. Camina, M. Herzog, E. Pacifici   +3 more
semanticscholar   +1 more source

The reduction theorem for relatively maximal subgroups

Bulletin of Mathematical Sciences, 2022
Let [Formula: see text] be a class of finite groups closed under taking subgroups, homomorphic images and extensions. It is known that if [Formula: see text] is a normal subgroup of a finite group [Formula: see text] then the image of an [Formula: see ...
Wenbin Guo, Danila O. Revin, Evgeny P. Vdovin   +2 more
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Conjugacy classes in Möbius groups [PDF]

Geometriae Dedicata, 2010
revised version.
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Improved covering results for conjugacy classes of symmetric groups via hypercontractivity

Forum of Mathematics, Sigma
We study covering numbers of subsets of the symmetric group $S_n$ that exhibit closure under conjugation, known as normal sets. We show that for any $\epsilon>0$ , there exists $n_0$ such that if $n>n_0$ and A is a normal ...
Nathan Keller, Noam Lifshitz, Ohad Sheinfeld   +2 more
doaj   +1 more source

Character expansiveness in finite groups [PDF]

International Journal of Group Theory, 2013
We say that a finite group $G$ is conjugacy expansive if for anynormal subset $S$ and any conjugacy class $C$ of $G$ the normalset $SC$ consists of at least as many conjugacy classes of $G$ as$S$ does.
Attila Maroti, Franciska Petenyi, Zoltan Halasi   +2 more
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