Results 41 to 50 of about 40,139 (202)
Generic Homeomorphisms with Shadowing of One-Dimensional Continua
In this article, we show that there are homeomorphisms of plane continua whose conjugacy class is residual and have the shadowing property.
Alfonso Artigue, Gonzalo Cousillas
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On functional moduli of surface flows
Currently, an complete topological classification has been obtained with respect to the topological equivalence of Morse-Smale flows, [9, 7], as well as their generalizations of Ω-stable flows on closed surfaces, [4].
Vladislav Kruglov +2 more
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Summary: This paper proves the rationality of Poincaré series whose coefficients are defined using the number of conjugacy classes in a system of finite groups defined as finite images of linear groups over \(\mathbb{Z}_p\) modulo natural congruence subgroups.
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$p$-vanishing conjugacy classes of symmetric groups
For a prime $p$, we say that a conjugacy class of a finite group $G$ is $p$-vanishing if every irreducible character of $G$ of degree divisible by $p$ takes value 0 on that conjugacy class. In this paper we completely classify 2-vanishing and 3-vanishing
Morotti, Lucia
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Conjugacy classes in unitriangular matrices
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
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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The Lengths of Certain Real Conjugacy Classes and the Related Prime Graph
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
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Conjugacy classes of Renner monoids
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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Conjugacy growth in branch groups
We prove that branch groups of automorphisms of regular rooted trees can not have polynomial conjugacy growth.
I.V. Bondarenko
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Complete parts and subhypergroups in reversible regular hypergroups
In this paper we analyse the center and centralizer of an element in the context of reversible regular hypergroups, in order to obtain the class equation in regular reversible hypergroups, by using complete parts.
Leoreanu-Fotea V. +3 more
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