Results 51 to 60 of about 737 (186)
On the automorphisms of the power semigroups of a numerical semigroup
Abstract If H$H$ is a numerical semigroup (i.e., a cofinite subset of the non‐negative integers closed under addition), then the collection of all non‐empty subsets of H$H$ forms a semigroup P(H)$\mathcal {P}(H)$ under the sumset operation induced by addition in H$H$.
Salvatore Tringali, Kerou Wen
wiley +1 more source
On critical exponents for self-similar collapse
We explore systematically perturbations of self-similar solutions to the Einstein-axion-dilaton system, whose dynamics are invariant under spacetime dilations combined with internal 𝔰𝔩(2, ℝ) transformations.
Riccardo Antonelli, Ehsan Hatefi
doaj +1 more source
Context‐free graphs and their transition groups
Abstract Starting from context‐free inverse graphs, we introduce a new class of groups and study their structural properties. We establish closure properties, show that their coword problems are context‐free, analyze torsion elements, and realize them as subgroups of the asynchronous rational group.
Daniele D'Angeli +3 more
wiley +1 more source
Abelian number fields with frobenian conditions
Abstract We study the distribution of abelian number fields with frobenian conditions imposed on the conductor. In particular, we find an asymptotic for the number of abelian field extensions of a number field k$k$ whose conductor is the sum of two squares. We also discuss an application of the Brauer group of stacks to quadratic number fields.
Julie Tavernier
wiley +1 more source
Classification and Dynamics of Class of ξ(as)-QSO
The current study provides a new class of ξ(as)-QSO defined on 2D simplex and classifies it into 18 non-conjugate (isomorphic) classes. This classification is based on their conjugacy and the remuneration of coordinates.
Izzat Qaralleh +2 more
doaj +1 more source
Classification of periodic transformations of an orientable surface of genus two
In this paper, we find all admissible topological conjugacy classes of periodic transformations of a two-dimensional surface of genus two. It is proved that there are exactly seventeen pairwise topologically non-conjugate orientation-preserving periodic ...
Baranov Denis A., Pochinka Olga V.
doaj +1 more source
Closures of conjugacy classes in g2
Let \(\mathfrak g\) be the simple Lie algebra of type \(G_2\) and \(C_i\) be the nilpotent conjugacy class in \(\mathfrak g\) of dimension \(i = 6, 8, 10\) and \(12\). In this paper the author shows the following: (a) every conjugacy class of \(\mathfrak g\) except \(C_8\) has a normal closure with rational singularities, (b) [\textit{T. Levasseur} and
openaire +1 more source
GROUPS WITH SMALL CONJUGACY CLASSES
A group satisfies property (*) iff every conjugacy class has size not greater than 2. This paper proves properties of this type of group and conclude that it is a central product of an abelian group with 2-groups that are "almost" extra special.
How, G. A., Chuang, F. C.
openaire +3 more sources
Bayesian Implementation of the Factor‐Analytic Mixed Model and Application to Embeddings
ABSTRACT Mixed models and neural networks each offer complementary frameworks for prediction. Theoretically grounded in inference, mixed models can unveil latent variance structure notably with the factor‐analytic approach. In this article, we propose to bridge the gap between the two frameworks, leveraging embedding data from a neural network encoder ...
Alexandre Marchal +3 more
wiley +1 more source
Surface subgroups for cocompact lattices of isometries of H2n$\mathbb {H}^{2n}$
Abstract We prove the existence of surface subgroups within any cocompact lattice Γ$\Gamma$ in SO(2n,1)$\mathrm{SO}(2n,1)$ for n⩾2$n\geqslant 2$. This result addresses the cases missing from the work of Hamenstädt in 2015, who constructed surface subgroups in cocompact lattices for all other rank‐1 simple Lie groups of noncompact type.
Jeremy Kahn, Zhenghao Rao
wiley +1 more source

