Results 31 to 40 of about 30,795 (238)
CONJUGACY CLASS SIZES FOR SOME 2-GROUPS OF NILPOTENCY CLASS TWO
Jurnal Teknologi, 2012 Dalam kertas ini, kita menyelidik ciri tak terturunkan dan panjang kelas konjugat bagi kumpulan–2 berpenjana–2 dengan kelas nilpoten 2. Panjang kelas konjugat bagi elemen x dalam kumpulan G adalah peringkat xG di mana xG ialah kelas konjugat yang mengandungi x.
Ilangovan, Sheila, Sarmin, Nor Haniza
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Groups having complete bipartite divisor graphs for their conjugacy class sizes
Rendiconti del Seminario Matematico della Università di Padova, 2015 Given a finite group G , the bipartite divisor graph for its conjugacy class sizes is the bipartite graph with bipartition consisting of the set of conjugacy class sizes of
Hafezieh, R, SPIGA, PABLO
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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
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Kazhdan constants for conjugacy classes of compact groups
Journal of Algebra, 2003 Let \(G\) be a locally compact group and \(\pi\) a unitary representation of \(G\) in the Hilbert space of \({\mathcal H}_\pi\). Associated to \(\pi\) and any compact subset \(Q\) of \(G\) is a so-called Kazhdan constant defined by \[ K(\pi,G,Q)= \inf\Biggl\{\sup_{x\in Q}\|\pi(x) \xi- \xi\|:\xi\in{\mathcal H}_\pi,\|\xi\|= 1\Biggr\}. \] Let \(R\) denote
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Character expansiveness in finite groups [PDF]
International Journal of Group Theory, 2013 We say that a finite group $G$ is conjugacy expansive if for anynormal subset $S$ and any conjugacy class $C$ of $G$ the normalset $SC$ consists of at least as many conjugacy classes of $G$ as$S$ does.
Attila Maroti +2 more
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Effective Twisted Conjugacy Separability of Nilpotent Groups
, 2018 This paper initiates the study of effective twisted conjugacy separability for finitely generated groups, which measures the complexity of separating distinct twisted conjugacy classes via finite quotients.
Deré, Jonas, Pengitore, Mark
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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
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Integrality, duality and finiteness in combinatoric topological strings
Journal of High Energy Physics, 2022 A remarkable result at the intersection of number theory and group theory states that the order of a finite group G (denoted |G|) is divisible by the dimension d R of any irreducible complex representation of G.
Robert de Mello Koch +3 more
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Decidability and Independence of Conjugacy Problems in Finitely Presented Monoids
, 2017 There have been several attempts to extend the notion of conjugacy from groups to monoids. The aim of this paper is study the decidability and independence of conjugacy problems for three of these notions (which we will denote by $\sim_p$, $\sim_o$, and $
Araújo, João +3 more
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Upper Bounds for the Number of Conjugacy Classes of a Finite Group
Journal of Algebra, 1997 The authors' abstract gives a concise summary: For a finite group \(G\), let \(k(G)\) denote the number of conjugacy classes of \(G\). We prove that a simple group of Lie type of untwisted rank \(l\) over the field of \(q\) elements has at most \((6q)^l\) conjugacy classes. Using this estimate we show that for completely reducible subgroups \(G\) of \(\
Liebeck, Martin W., Pyber, László
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