Results 51 to 60 of about 6,235 (209)
On non-conjugate Coxeter elements in well-generated reflection groups [PDF]
Discrete Mathematics & Theoretical Computer Science, 2015 Given an irreducible well-generated complex reflection group $W$ with Coxeter number $h$, we call a Coxeter element any regular element (in the sense of Springer) of order $h$ in $W$; this is a slight extension of the most common notion of Coxeter ...
Victor Reiner +2 more
doaj +1 more source
Products of conjugacy classes in finite and algebraic simple groups [PDF]
, 2012 We prove the Arad–Herzog conjecture for various families of finite simple groups — if A and B are nontrivial conjugacy classes, then A B is not a conjugacy class.
R. Guralnick, Gunter Malle, P. Tiep
semanticscholar +1 more source
ON CONJUGACY CLASSES IN LINEAR GROUPS
Demonstratio Mathematica, 1993 Let \(G = GL(n,K)\) or \(SL(n,K)\), \(K\) any field (finite or infinite). The author proves that \(| C| > | Z(G)|\) for any non-central conjugacy class \(C\) in \(G\). Combining this with an older result [ibid. 22, 677-693 (1989; Zbl 0696.20040)] the author concludes that \(SL(n,K) = C_ 1C_ 2C\) if \(C\) is any noncentral conjugacy class and \(C_ 1\), \
openaire +2 more sources
Non-nilpotent groups with three conjugacy class of non-normal subgroups [PDF]
International Journal of Group Theory, 2014 For a finite group $G$ let $nu(G)$ denote the number of conjugacy classes of non-normal subgroups of $G$. The aim of this paper is to classify all the non-nilpotent groups with $nu(G)=3$.
Hamid Mousavi
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THE CONJUGACY CLASSES OF METABELIAN GROUPS OF ORDER AT MOST 24
, 2015 In this paper, G denotes a non-abelian metabelian group and denotes conjugacy class of the element x in G . Conjugacy class is an equivalence relation and it partitions the group into disjoint equivalence classes or sets.
N. Sarmin, I. Gambo, S. Omer
semanticscholar +1 more source
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
Representations of group rings and groups [PDF]
International Journal of Group Theory, 2018 An isomorphism between the group ring of a finite group and a ring of certain block diagonal matrices is established. It is shown that for any group ring matrix $A$ of $mathbb{C} G$ there exists a matrix $U$ (independent of $A$) such that $U^{-1}AU= diag(
Ted Hurley
doaj +1 more source
Twisted Conjugacy Classes in Abelian Extensions of Certain Linear Groups [PDF]
Canadian mathematical bulletin, 2011 Given a group automorphism $\phi :\,\Gamma \,\to \,\Gamma $ , one has an action of $\Gamma $ on itself by $\phi $ -twisted conjugacy, namely, $g.x\,=\,gx\phi ({{g}^{-1}})$ . The orbits of this action are called $\phi $ -twisted conjugacy classes.
T. Mubeena, P. Sankaran
semanticscholar +1 more source
On the automorphisms of the power semigroups of a numerical semigroup
Transactions of the London Mathematical Society, Volume 13, Issue 1, December 2026.Abstract If H$H$ is a numerical semigroup (i.e., a cofinite subset of the non‐negative integers closed under addition), then the collection of all non‐empty subsets of H$H$ forms a semigroup P(H)$\mathcal {P}(H)$ under the sumset operation induced by addition in H$H$.
Salvatore Tringali, Kerou Wen
wiley +1 more source
Groups whose proper subgroups of infinite rank have polycyclic-by-finite conjugacy classes [PDF]
International Journal of Group Theory, 2016 A group G is said to be a (PF)C-group or to have polycyclic-by-finite conjugacy classes, if G/C_{G}(x^{G}) is a polycyclic-by-finite group for all xin G. This is a generalization of the familiar property of being an FC-group.
Mounia Bouchelaghem, Nadir Trabelsi
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