Results 41 to 50 of about 737 (186)
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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Line Graphs of Multigraphs and the Forbidden Graph E 6
Journal of Graph Theory, EarlyView.ABSTRACT The line graph Γ of a multigraph Δ is the graph whose vertices are the edges of Δ, where two such edges are adjacent if and only if they meet in a single vertex of Δ. We provide several characterizations of such line graphs and in particular show that a graph is a line graph if and only if it does not contain one of the 32 graphs, all of which
Hans Cuypers
wiley +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
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Conjugacy Class Representatives in the Monster Group [PDF]
LMS Journal of Computation and Mathematics, 2005 AbstractThe paper describes a procedure for determining (up to algebraic conjugacy) the conjugacy class in which any element of the Monster lies, using computer constructions of representations of the Monster in characteristics 2 and 7. This procedure has been used to calculate explicit representatives for each conjugacy class.
Richard W. Barraclough, Robert A. Wilson
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The Distributional Effects of Economic Uncertainty*
International Economic Review, EarlyView.ABSTRACT We study the distributional implications of uncertainty shocks by developing a model that links macroeconomic aggregates to the US distribution of earnings and consumption. Our findings suggest that the fraction of low‐earning workers decreases initially, while the share of households reporting low consumption increases.
Florian Huber +2 more
wiley +1 more source
On intersections of conjugacy classes and bruhat cells [PDF]
Transformation Groups, 2010 For a connected complex semi-simple Lie group $G$ and a fixed pair $(B, B^-)$ of opposite Borel subgroups of $G$, we determine when the intersection of a conjugacy class $C$ in $G$ and a double coset $BwB^-$ is non-empty, where $w$ is in the Weyl group $W$ of $G$.
Chan, KY, To, SKM, Lu, JH
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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
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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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Scandinavian Journal of Statistics, EarlyView.ABSTRACT A possibly time‐dependent transition intensity matrix or generator (Q(t))$$ \left(Q(t)\right) $$ characterizes the law of a Markov jump process (MP). For a time‐homogeneous MP, the transition probability matrix (TPM) can be expressed as a matrix exponential of Q$$ Q $$.
Dario Gasbarra +2 more
wiley +1 more source
Groups with reality and conjugacy conditions [PDF]
International Journal of Group Theory, 2012 Many results were proved on the structure of finite groups with some restrictions on their real elements and on their conjugacy classes. We generalize a few of these to some classes of infinite groups.
Patrizia Longobardi +2 more
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