Results 21 to 30 of about 301 (137)
Determination of conjugacy class sizes from products of characters [PDF]
Archiv der Mathematik, 2012 Robinson showed that the character degrees are determined by knowing, for all $n$, the number of ways that the identity can be expressed as a product of $n$ commutators. Earlier, Strunkov showed that the existence of characters of $p$-defect 0 can be determined by counting solutions to certain equations involving commutators and conjugates.
Andrus, Ivan, Hegedűs, Pál
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SOME PRODUCTS OF SUBGROUPS AND VANISHING CONJUGACY CLASS SIZES
Bulletin of the Australian Mathematical Society, 2022 AbstractIn this note, we investigate some products of subgroups and vanishing conjugacy class sizes of finite groups. We prove some supersolubility criteria for groups with restrictions on the vanishing conjugacy class sizes of their subgroups.
ADOLFO BALLESTER-BOLINCHES +3 more
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Non-Solvable Groups whose all Vanishing Class Sizes are Odd-Square-Free [PDF]
Advances in Group Theory and ApplicationsGiven a finite group G, a vanishing element is an element x ∈ G for which there exists χ ∈ Irr(G) such that χ(x) = 0. The conjugacy class of a vanishing element is called a vanishing class of G. Considering G as a finite non-solvable group with Sol(G) as
Roghayeh Hafezieh, Gülsemin Çonoğlu
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Finite groups with real conjugacy classes of prime size [PDF]
Israel Journal of Mathematics, 2010 In this article, the authors establish results characterizing finite groups whose real conjugacy classes are of prime power size. A conjugacy class \(g^G\) is called real if \(g^G=(g^{-1})^G\). These are precisely the conjugacy classes on which every character of \(G\) takes on a real value. In Theorem A, the authors establish that if \(G\) is a finite
DOLFI, SILVIO, L. Sanus, E. Pacifici
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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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Derived length and conjugacy class sizes
Advances in Mathematics, 2006 Let \(G\) be a finite solvable group, let \(F(G)\) denote the Fitting subgroup and let \(\text{dl}(G/F(G))\) stand for the derived length of \(G/F(G)\). If \(\text{cs}(G)\) is the set of conjugacy class sizes of \(G\) and if \(\text{h}(G)\) is the Fitting height of \(G\), the author succeeds to prove (Theorem A) that there exist universal constants ...
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The Influence of Conjugacy Class Sizes on the Structure of Finite Groups
Taiwanese Journal of Mathematics, 2017 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chen, Ruifang, Zhao, Xianhe
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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
Economic Record, EarlyView.Economic indicators inform the assessment of economic slack for central banks, yet traditional output gap estimates are often limited by the substantial reporting lags of quarterly GDP. This paper extends a mixed‐frequency Bayesian vector autoregressive (MF‐BVAR) framework to the Australian economy by applying a multivariate Beveridge–Nelson (BN ...
Gilliane De Gorostiza‐Roudnitski
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On the number of connected components of divisibility graph for certain simple groups [PDF]
Transactions on Combinatorics, 2016 The divisibility graph D(G) D(G) for a finite group G G is a graph with vertex set cs(G)∖{1} cs(G)∖{1} where cs(G) cs(G) is the set of conjugacy class sizes of G G. Two vertices a a and b b are adjacent whenever a a divides b b or b b divides a a.
Adeleh Abdolghafourian +1 more
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