Results 111 to 120 of about 6,650 (233)
A study on brauer group and brauer diagrams
The Brauer group, an important concept in algebra, plays a pivotal role in the study of central simple algebras and their classification. This paper explores the algebraic structures underlying the Brauer group, emphasizing its connections with division algebras, Galois cohomology, and class field theory.
openaire +1 more source
A Bayesian approach to computing Brauer groups of cubic surfaces
We present an algorithm for computing the Brauer groups of cubic surfaces. The algorithm takes as input an equation for a cubic surface X and a confidence threshold 0.5 r for the result.
James, Austen A
core
Sylow subgroups and the number of irreducible characters of degrees divisible by a prime p$p$
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
wiley +1 more source
Differential graded Brauer groups
International audienceWe consider central simple $K$-algebras which happen to bedifferential graded $K$-algebras. Two such algebras $A$ and $B$are considered equivalent if there are bounded complexes of finite dimensional$K$-vector spaces $C_A$ and $C_B$
Zimmermann, Alexander
core +1 more source
On the Lang–Trotter conjecture for Siegel modular forms
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
wiley +1 more source
Urban greenspace and dementia: Measures, mechanisms, and methodological guidance
Abstract Urban greenspace has been associated with improved cognition and reduced Alzheimer's disease (AD) and AD‐related dementias (ADRD) risk, but findings remain mixed, study quality varies, and evidence is largely cross‐sectional. To advance the field, we offer guidance to select and apply greenspace exposure measures in AD/ADRD research.
Ingrid Jarvis +15 more
wiley +1 more source
We re‐analysed RAD‐Seq data from brown trout using a conspecific reference genome and alternative SNP pipelines. Population structure was robust across methods, but using the brown trout reference improved detection of biologically relevant outlier SNPs. ABSTRACT Genome‐wide association studies with identification of biologically relevant genes rely on
Giovanna Mottola +4 more
wiley +1 more source
We applied the two‐stage, AI‐based TOFSI approach to test automatic pollen recognition with fossil pollen samples. The algorithm performs very well for all major pollen types and other non‐pollen object classes, suggesting that such tools have the potential to substantially increase the efficiency of pollen analysis.
Martin Theuerkauf, Alexander Gillert
wiley +1 more source
Brauer groups of a family of nonnegative Kodaira dimension elliptic surfaces
We explore the Brauer groups of the elliptic surfaces given by y² = x³ + t⁶ᵐ + 1 over Q for m = 2, 3. When m = 2, the resulting surface is K3, and when m = 3, the surface is honestly elliptic with Kodaira dimension 1.
Zheng, Ken
core
ENRIQUES SURFACES -- BRAUER GROUPS AND KUMMER STRUCTURES
This paper develops families of complex Enriques surfaces whose Brauer groups pull back identically to zero on the covering K3 surfaces. Our methods rely on isogenies with Kummer surfaces of product type.
Matthias Schütt +3 more
core +1 more source

