Results 41 to 50 of about 301 (137)
On 7‐adic Galois representations for elliptic curves over Q$\mathbb {Q}$
Proceedings of the London Mathematical Society, Volume 133, Issue 2, August 2026.Abstract In recent years, significant progress has been made on Mazur's Program B, with many authors beginning a systematic classification of all possible images of p$p$‐adic Galois representations attached to elliptic curves over Q$\mathbb {Q}$. Currently, the classification is only complete for p∈{2,3,13,17}$p \in \lbrace 2,3,13,17\rbrace$.
Lorenzo Furio, Davide Lombardo
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Sylow subgroups and the number of irreducible characters of degrees divisible by a prime p$p$
Bulletin of the London Mathematical Society, Volume 58, Issue 7, July 2026.Abstract Let G$G$ be a finite group and p$p$ be a prime. We establish an upper bound for the derived length of a Sylow p$p$‐subgroup of G$G$ in terms of the number of irreducible characters of G$G$ whose degrees are divisible by p$p$. We also prove that if B$B$ is a p$p$‐block of a finite p$p$‐solvable group G$G$ with defect group D$D$, then the ...
James P. Cossey +3 more
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On characterization of a finite group by the set of conjugacy class sizes
Journal of Algebra and Its Applications, 2021 Let [Formula: see text] be a finite group and [Formula: see text] be the set of its conjugacy class sizes. In the 1980s, Thompson conjectured that the equality [Formula: see text], where [Formula: see text] and [Formula: see text] is simple, implies the isomorphism [Formula: see text].
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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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Variations on a theorem by Alan Camina on conjugacy class sizes
Journal of Algebra, 2006 In 1972, A. Camina proved that if \(G\) is a finite group whose conjugacy class sizes are 1, \(p^a\), \(q^b\), \(p^aq^b\) for primes \(p\) and \(q\), then \(G\) is nilpotent. (Note that from the hypothesis and Burnside's \(p^aq^b\)-theorem it easily follows that \(G\) must be solvable in this situation.) In the paper under review the authors consider ...
Beltrán, Antonio, Felipe, María José
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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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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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Statistics in Medicine, Volume 45, Issue 13-14, June 2026.ABSTRACT With the development of modern technology, richer and more intensive longitudinal data are available for researchers to study more complex model structures. The Mixed‐Effect Location‐Scale Model (MELS) is useful for modeling the variance components in such data.
Brian Ping‐Huan Wu, Donald Hedeker
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Journal of Geophysical Research: Space Physics, Volume 131, Issue 6, June 2026.Abstract The objective of the present study is to investigate solar wind‐magnetosphere‐ionosphere coupling (SWMIC) under intense external driving in terms of dayside ground magnetic disturbances. Dayside magnetic reconnection drives a region‐1 sense current system, the SWMIC current system.
Shinichi Ohtani
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