Results 161 to 170 of about 29,505 (192)
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AN UPPER BOUND FOR THE GROWTH OF CONJUGACY CLASSES IN TORSION-FREE WORD HYPERBOLIC GROUPS
International Journal of Algebra and Computation, 2004We give a new upper bound for the growth of primitive conjugacy classes in torsion-free word hyperbolic groups.
Coornaert, Michel, Knieper, Gerhard
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The conjugate and generalized conjugacy class graphs for metacyclic 3-groups and metacyclic 5-groups
AIP Conference Proceedings, 2017Let G be a metacyclic p-group where p is either 3 or 5, and let Ω be the set of all ordered pairs (x, y) in G × G such that lcm(| x |,| y |)=p, xy = yx and x ≠ y. In this paper, the conjugate graphs associated to metacyclic 3-groups and metacyclic 5-groups are found.
Siti Norziahidayu Amzee Zamri +2 more
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Thompson’s conjecture on conjugacy class sizes for the simple group PSUn(q)
International Journal of Algebra and Computation, 2017We show that if [Formula: see text] is a finite centerless group with the same conjugacy class sizes as [Formula: see text], then [Formula: see text] and so verify a conjecture attributed to John G. Thompson.
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Lower bounds for the number of conjugacy classes in finite solvable groups
Israel Journal of Mathematics, 1991If \(G\) is a finite solvable group of derived length \(d\) (at least 2), and \(k(G)\) denotes the number of conjugacy classes in \(G\), then \(k(G) > | G|^{1/(2^ d-1)}\). Additional lower bounds for \(k(G)\) are derived under additional assumptions, e.g. that \(G\) has a nilpotent maximal subgroup.
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A solvability criterion for finite groups related to vanishing conjugacy classes
Journal of Algebra and Its ApplicationsLet [Formula: see text] be a finite group. An element [Formula: see text] in [Formula: see text] is termed as a vanishing element if there exists at least one irreducible character [Formula: see text] of [Formula: see text] such that [Formula: see text].
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The Number of Conjugacy Classes for Two-Generator p-Groups with a Cyclic Commutator Subgroup
Bulletin of the Malaysian Mathematical Sciences SocietyThe authors prove that if \(G\) is a \(2\)-generated finite \(p\)-group and the derived subgroup \(G^\prime\) of \(G\) is cyclic, then the number of conjugacy classes of \(G\) is precisely \(p^{n-c}(1+p^{-1}-p^{-(c+1)}),\) where \(|G|=p^n\) and \(|G^\prime|=p^c.\)
Nur Atiqah Abd Majid, Azhana Ahmad
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A finiteness condition for verbal conjugacy classes in a group
Publicationes Mathematicae Debrecen, 2013JOSE M. MUNOZ-ESCOLANO, PAVEL SHUMYATSKY
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Cancer statistics for adolescents and young adults, 2020
Ca-A Cancer Journal for Clinicians, 2020Kimberly D Miller +2 more
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