Results 31 to 40 of about 1,309 (212)

Conjugacy classes and finite p-groups [PDF]

Archiv der Mathematik, 2005
Let $G$ be a finite $p$-group, where $p$ is a prime number, and $a\in G$. Denote by $\Cl(a)=\{gag^{-1}\mid g\in G\}$ the conjugacy class of $a$ in $G$. Assume that $|\Cl(a)|=p^n$. Then $\Cl(a)\Cl(a^{-1})=\{xy\mid x\in \Cl(a), y\in \Cl(a^{-1})\}$ is the union of at least $n(p-1)+1$ distinct conjugacy classes of $G$.
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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
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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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Conjugacy in normal subgroups of hyperbolic groups

, 2012
Let N be a finitely generated normal subgroup of a Gromov hyperbolic group G. We establish criteria for N to have solvable conjugacy problem and be conjugacy separable in terms of the corresponding properties of G/N.
Armando Martino, Ashot Minasyan, Minasyan, Ashot, Martino, Armando   +3 more
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Twisted Conjugacy Classes in Chevalley Groups [PDF]

Algebra and Logic, 2015
We prove that Chevalley group over the field $F$ of zero characteristic possess $R_{\infty}$ property, if $F$ has torsion group of automorphisms or $F$ is an algebraically closed field which has finite transcendence degree over $\mathbb{Q}$. As a consequence we obtain that the twisted conjugacy class $[e]_φ$ of unit element is a subgroup of Chevalley ...
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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
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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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