Results 41 to 50 of about 2,545 (225)
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
doaj
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
doaj +1 more source
The Lengths of Certain Real Conjugacy Classes and the Related Prime Graph
Mathematics, 2021 Let G be a finite group. In this paper, we study how certain arithmetical conditions on the conjugacy class lengths of real elements of G influence the structure of G. In particular, a new type of prime graph is introduced and studied. We obtain a series
Siqiang Yang, Xianhua Li
doaj +1 more source
Conjugacy classes of Renner monoids
Journal of Algebra, 2013 A reference ([13]) and Corollary 4.5 are added to show the connection between the result in Theorem 4.4 of the previous version and the results in [13]. A paragraph on page 12 is new to show that Theorem 4.4 can also be deduced from the results in [13].
Li, Zhuo, Li, Zhenheng, Cao, Youʼan
openaire +2 more sources
Hereditary conjugacy separability of right angled Artin groups and its applications
, 2012 We prove that finite index subgroups of right angled Artin groups are conjugacy separable. We then apply this result to establish various properties of other classes of groups.
Minasyan, Ashot
core +1 more source
Conjugacy growth in branch groups
Karpatsʹkì Matematičnì Publìkacìï, 2013 We prove that branch groups of automorphisms of regular rooted trees can not have polynomial conjugacy growth.
I.V. Bondarenko
doaj +3 more sources
Complete reducibility and separability
, 2010 Let G be a reductive linear algebraic group over an algebraically closed field of characteristic p > 0. A subgroup of G is said to be separable in G if its global and infinitesimal centralizers have the same dimension. We study the interaction between
Röhrle, Gerhard +7 more
core +1 more source
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.
openaire +1 more source
Bayesian Inference for Multivariate Monotone Densities
Scandinavian Journal of Statistics, EarlyView.ABSTRACT We consider a nonparametric Bayesian approach to estimation and testing for a multivariate monotone density. Instead of following the conventional Bayesian approach of imposing a prior that satisfies the monotonicity restriction, we place a prior on the step heights via binning and a Dirichlet distribution. The resulting posterior distribution
Kang Wang, Subhashis Ghosal
wiley +1 more source
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
doaj +1 more source