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We consider the group property of being icc. We give several examples of icc groups and study its stability under usual algebraic constructions.

群论 · 数学 2007-05-23 Jean-Philippe Preaux

For numerical semigroups with a specified list of (not necessarily minimal) generators, we obtain explicit asymptotic expressions, and in some cases quasipolynomial/quasirational representations, for all major factorization length…

组合数学 · 数学 2021-02-05 Stephan Ramon Garcia , Mohamed Omar , Christopher O'Neill , Samuel Yih

We give technical conditions for a quasi-isometry of pairs to preserve a subgroup being hyperbolically embedded. We consider applications to the quasi-isometry and commensurability invariance of acylindrical hyperbolicity of finitely…

群论 · 数学 2025-01-15 Sam Hughes , Eduardo Martínez-Pedroza

The main aim of this work is to introduce and justify the study of semi-covarities. A {\it semi-covariety} is a non-empty family $\mathcal{F}$ of numerical semigroups such that it is closed under finite intersections, has a minimum,…

交换代数 · 数学 2024-08-08 M. A. Moreno-Frías , J. C. Rosales

It is well known that weakly continuous semigroups defined over $\mathbb{R}_{+}$ are automatically strongly continuous. We extend this result to more generally defined semigroups, including multiparameter semigroups.

泛函分析 · 数学 2021-08-23 Raj Dahya

We introduce the {\it Ellis semigroup} of a nonautonomous discrete dynamical system $(X,f_{1,\infty})$ when $X$ is a metric compact space. The underlying set of this semigroup is the pointwise closure of $\{f\sp{n}_1 \, |\, n\in…

一般拓扑 · 数学 2016-02-29 S. García-Ferreira , M. Sanchis

We explore the properties of an interesting new example of a function which is Lebesgue integrable but not Riemann integrable.

经典分析与常微分方程 · 数学 2015-04-21 Joseph L. Gerver

We show that every unitary representation of a solvable discrete virtually nilpotent group G is quasidiagonal. Roughly speaking, this says that every unitary representation of G approximately decomposes as a direct sum of finite dimensional…

算子代数 · 数学 2014-01-23 Caleb Eckhardt

Weierstrass semigroups are well-known along the literature. We present a new family of non-Weierstrass semigroups which can be written as an intersection of Weierstrass semigroups. In addition, we provide methods for calculating…

代数几何 · 数学 2020-05-27 J. I. García-García , D. Marín-Aragón , F. Torres , A. Vigneron-Tenorio

A quasi-semiregular element in a permutation group is an element that has a unique fixed point and acts semiregularly on the remaining points. Such elements were first studied in the context of automorphisms of graphs and occur naturally in…

群论 · 数学 2025-07-18 Michael Giudici , Luke Morgan , Cheryl E. Praeger

We present a series of examples of precompact, noncompact, reflexive topological Abelian groups. Some of them are pseudocompact or even countably compact, but we show that there exist precompact non-pseudocompact reflexive groups as well.…

一般拓扑 · 数学 2016-03-01 S. Ardanza-Trevijano , M. J. Chasco , X. Domínguez , M. G. Tkachenko

A semisimple element $s$ of a connected reductive group $G$ is said {\it quasi-isolated} (respectively {\it isolated}) if $C_G(s)$ (respectively $C_G^0(s)$) is not contained in a Levi subgroup of a proper parabolic subgroup of $G$. We study…

群论 · 数学 2007-05-23 Cédric Bonnafé

In this note we give two examples of partially commutative subgroups of partially commutative groups. Our examples are counterexamples to the Extension Graph Conjecture and to the Weakly Chordal Conjecture of Kim and Koberda, \cite{KK}. On…

群论 · 数学 2013-06-14 Montserrat Casals-Ruiz , Andrew Duncan , Ilya Kazachkov

We study asymptotic behavior of one-step weighted $M$-estimators based on samples from arrays of not necessarily identically distributed random variables and representing explicit approximations to the corresponding consistent weighted…

统计理论 · 数学 2015-07-07 Yu. Yu. Linke

This paper infers a single parameter in non-sparse logistic regression models. By transforming the null hypothesis into a moment condition, we construct the test statistic and obtain the asymptotic null distribution. Numerical experiments…

统计方法学 · 统计学 2022-11-10 Yanmei Shi , QiZhang

In this paper we discuss a one parameter modification of the well known fractional Maxwell model of viscoelasticity. Such models appear to be particularly interesting because they describe the short time asymptotic limit of a more general…

数学物理 · 物理学 2017-05-22 Ivano Colombaro , Andrea Giusti , Francesco Mainardi

We consider a class of pseudodifferential operators with a doubly characteristic point, where the quadratic part of the symbol fails to be elliptic but obeys an averaging assumption. Under suitable additional assumptions, semiclassical…

偏微分方程分析 · 数学 2016-07-14 Joe Viola

A random group contains many quasiconvex surface subgroups.

群论 · 数学 2015-01-21 Danny Calegari , Alden Walker

In this paper, we construct a partial group \(\mathcal{P}(F)\) that represents the "partial symmetry" inherent in a subset \(F\) of \(d\)-dimensional Euclidean space. In cases where \(F\) is not connected, \(\mathcal{P}(F)\) captures more…

群论 · 数学 2025-08-27 Takahiro Hayashi

Let $S\subseteq \mathbb N^p$ be a semigroup, any $P\subseteq S$ is an ideal of $S$ if $P+S\subseteq P$, and an $I(S)$-semigroup is the affine semigroup $P\cup \{0\}$, with $P$ an ideal of $S$. We characterise the $I(S)$-semigroups and the…

交换代数 · 数学 2024-05-24 J. I. García-García , R. Tapia-Ramos , A. Vigneron-Tenorio