Results 41 to 50 of about 36,197 (185)
On Lusztig's map for spherical unipotent conjugacy classes
, 2013 We provide an alternative description of the restriction to spherical unipotent conjugacy classes, of Lusztig's map Psi from the set of unipotent conjugacy classes in a connected reductive algebraic group to the set of conjugacy classes of its Weyl group.
Carnovale, Giovanna, Costantini, Mauro
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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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Commuting Conjugacy Class Graph of The Finite $2-$Groups $G_n(m)$ and $G[n]$ [PDF]
Journal of Mahani Mathematical ResearchSuppose $G$ is a finite non-abelian group and $\Gamma(G)$ is a graph with non-central conjugacy classes of $G$ as its vertex set. Two vertices $L$ and $K$ in $\Gamma(G)$ are adjacent if there are $a \in L$ and $b \in K$ such that $ab = ba$.
Mohammad Ali Salahshour +1 more
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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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Classification and Dynamics of Class of ξ(as)-QSO
Journal of Mathematical and Fundamental Sciences, 2020 The current study provides a new class of ξ(as)-QSO defined on 2D simplex and classifies it into 18 non-conjugate (isomorphic) classes. This classification is based on their conjugacy and the remuneration of coordinates.
Izzat Qaralleh +2 more
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Topological conjugacy of non-singular flows with two limit cycles on $S^2 times S^1$
Журнал Средневолжского математического общества, 2022 In the paper, non-singular flows with two limit cycles on the manifold $S^2 times S^1$ are considered. For such flows, a classification is obtained up to topological conjugacy, and it is shown that they have a functional modulus of stability.
Dobrolyubova Alisa L. +1 more
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Morse theory and conjugacy classes of finite subgroups [PDF]
, 2007 We construct a CAT(0) group containing a finitely presented subgroup with infinitely many conjugacy classes of finite-order elements. Unlike previous examples (which were based on right-angled Artin groups) our ambient CAT(0) group does not contain any ...
Brady, Noel, Clay, Matt, Dani, Pallavi
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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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Finite non-nilpotent groups with few non-normal non-cyclic subgroups [PDF]
International Journal of Group Theory, 2017 For a finite group $G$, let $nu_{nc}(G)$ denote the number of conjugacy classes of non-normal non-cyclic subgroups of $G$. We characterize the finite non-nilpotent groups whose all non-normal non-cyclic subgroups are conjugate.
Hamid Mousavi, Zahra Rezazadeh
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$p$-vanishing conjugacy classes of symmetric groups
, 2015 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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