Results 71 to 80 of about 737 (186)
Conjugacy classes and finite p-groups [PDF]
Archiv der Mathematik, 2005 Let $G$ be a finite $p$-group, where $p$ is a prime number, and $a\in G$. Denote by $\Cl(a)=\{gag^{-1}\mid g\in G\}$ the conjugacy class of $a$ in $G$. Assume that $|\Cl(a)|=p^n$. Then $\Cl(a)\Cl(a^{-1})=\{xy\mid x\in \Cl(a), y\in \Cl(a^{-1})\}$ is the union of at least $n(p-1)+1$ distinct conjugacy classes of $G$.
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An elegant model of the geodesic flow on the modular surface
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract Caroline Series' [The modular surface and continued fractions, J. Lond. Math. Soc. (2), 31, no. 1, (1985), 69–80] gives a clear framework linking, in a deceptively simple way, the dynamics of the geodesic flow on the modular surface with the dynamics of the regular continued fraction, through a well‐chosen symbolic coding.
Pierre Arnoux, Thomas A. Schmidt
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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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On exotic matrix exponential sums and Bessel–Speh functions
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract In a previous work with Carmon, we defined Bessel–Speh functions. These are matrix coefficients of irreducible Speh representations of GLkc(F)$\mathrm{GL}_{kc}(\mathbb {F})$, where F$\mathbb {F}$ is a finite field. They arise from (k,c)$(k,c)$ models, which are models that generalize the Whittaker model to Speh representations attached to ...
Elad Zelingher
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On some integral properties of dimensions in Isaacs fusion categories
Journal of the London Mathematical Society, Volume 114, Issue 1, July 2026.Abstract For a fusion category, we prove some new integrality properties concerning the dimension of a simple object that generates an Isaacs fusion subcategory. If any such fusion subcategory is Isaacs, this implies that C$\mathcal {C}$ is a Frobenius‐type fusion category. A stronger divisibility result is proven for any modular fusion category.
Sebastian Burciu
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On the Lang–Trotter conjecture for Siegel modular forms
Mathematika, Volume 72, Issue 3, July 2026.Abstract Let f$f$ be a genus‐two cuspidal Siegel eigenform. We prove an adelic open image theorem for the compatible system of Galois representations associated with f$f$, generalizing the results of Ribet and Momose for elliptic modular forms. Using this result, we investigate the distribution of the Hecke eigenvalues ap$a_p$ of f$f$, and obtain upper
Arvind Kumar, Moni Kumari, Ariel Weiss
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$N$-recognizability of Groups $ Alt_p\times Alt_5$,\\ Where $p>1361$ Is a Prime Number
Известия Иркутского государственного университета: Серия "Математика"$N$-recognizability of Groups $ Alt_p\times Alt_5$, Where $p>1361$ Is a Prime Number} Given a finite group $L$, let $N(L)$ denote the set of its conjugacy class sizes.
I. B. Gorshkov, V. D. Shepelev
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Frugivore Declines Across Taxa Affect Forest Biomass
Global Change Biology Communications, Volume 1, Issue 2, June 2026.We examined how frugivore declines affect aboveground biomass in 260 1‐ha forest plots across Gabon using imputed frugivory networks between 122 frugivores and 99,349 trees. Simulated frugivore declines across Gabon tended to reduce aboveground biomass, with effects varying by taxon and geography.
Camille M. M. DeSisto +8 more
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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
doaj
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 \(C_ 1\), \
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