Results 41 to 50 of about 3,682,623 (208)
Conjugacy classes in unitriangular matrices
Linear Algebra and its Applications, 2003 Let \(G_n=G_n(q)\) be the group of the upper unitriangular matrices of size \(n\times n\) over \(\text{GF}(q)\), the finite field with \(q=p^t\) elements. Higman has conjectured that, for each \(n\), the number of conjugacy classes of elements of \(G_n\) is a polynomial expression in \(q\).
Vera-López, Antonio, Arregi, J.M.
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Product of Conjugacy Classes of the Alternating Group An
مجلة بغداد للعلوم, 2012 For a nonempty subset X of a group G and a positive integer m , the product of X , denoted by Xm ,is the set Xm = That is , Xm is the subset of G formed by considering all possible ordered ...
Baghdad Science Journal
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Conjugacy classes of Renner monoids
Journal of Algebra, 2013 In this paper we describe conjugacy classes of a Renner monoid $R$ with unit group $W$, the Weyl group. We show that every element in $R$ is conjugate to an element $ue$ where $u\in W$ and $e$ is an idempotent in a cross section lattice. Denote by $W(e)$ and $W_*(e)$ the centralizer and stabilizer of $e\in $ in $W$, respectively.
Li, Zhuo, Li, Zhenheng, Cao, Youʼan
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The conjugacy class graph of some finite groups and its energy
, 2017 The energy of a graph which is denoted by is defined to be the sum of the absolute values of the eigenvalues of its adjacency matrix. In this paper we present the concepts of conjugacy class graph of dihedral groups and introduce the general formula for
Rabiha Mahmoud, N. Sarmin, A. Erfanian
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On the ranks of Fischer group $Fi_{24}^{,prime}$ and the Baby Monster group $mathbb{B}$ [PDF]
International Journal of Group Theory, 2019 If $G$ is a finite group and $X$ a conjugacy class of elements of $G$, then we define $rank(G{:}X)$ to be the minimum number of elements of $X$ generating $G$. In the present article, we determine the ranks for the Fischer's simple group $Fi_{
Mohammed Ibrahim +3 more
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Conjugacy classes of left ideals of Sweedler's four-dimensional algebra $ H_{4} $
AIMS Mathematics, 2022 Let $ A $ be a finite-dimensional algebra with identity over the field $ \mathbb{F} $, $ U(A) $ be the group of units of $ A $ and $ L(A) $ be the set of left ideals of $ A $. It is well known that there is an equivalence relation $ \sim $ on $ L(A) $ by
Fengxia Gao, Jialei Chen
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On spherical twisted conjugacy classes [PDF]
Transformation Groups, 2012 Let G be a simple algebraic group over an algebraically closed field of good odd characteristic, and let theta be an automorphism of G arising from an involution of its Dynkin diagram. We show that the spherical theta-twisted conjugacy classes are precisely those intersecting only Bruhat cells corresponding to twisted involutions in the Weyl group.
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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 +2 more
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On critical exponents for self-similar collapse
Journal of High Energy Physics, 2020 We explore systematically perturbations of self-similar solutions to the Einstein-axion-dilaton system, whose dynamics are invariant under spacetime dilations combined with internal 𝔰𝔩(2, ℝ) transformations.
Riccardo Antonelli, Ehsan Hatefi
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An observation‐driven state‐space model for claims size modelling
Canadian Journal of Statistics, EarlyView.Abstract State‐space models are popular in econometrics. Recently, these models have gained some popularity in the actuarial literature. The best known state‐space models are of the Kalman‐filter type. These are called parameter‐driven because the observations do not impact the state‐space dynamics.
Jae Youn Ahn +2 more
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