Results 81 to 90 of about 235,315 (244)

A characterization of elementary abelian 2-groups [PDF]

arXiv, 2016
In this note we give a characterization of elementary abelian 2-groups in terms of their maximal sum-free subsets.
arxiv  

The Picard group in equivariant homotopy theory via stable module categories

Journal of Topology, Volume 18, Issue 2, June 2025.
Abstract We develop a mechanism of “isotropy separation for compact objects” that explicitly describes an invertible G$G$‐spectrum through its collection of geometric fixed points and gluing data located in certain variants of the stable module category.
Achim Krause
wiley   +1 more source

Flag-transitive non-symmetric 2-designs with λ prime and exceptional groups of Lie type

AIMS Mathematics
This paper contributes to the classification of flag-transitive 2-$ (v, k, \lambda) $ designs. Let $ \mathcal{D} $ be a non-trivial and non-symmetric $ 2 $-$ (v, k, \lambda) $ design with $ \lambda $ prime and $ G $ be a flag-transitive point-primitive ...
Yongli Zhang , Jiaxin Shen
doaj   +1 more source

The structure of translational tilings in $\mathbb{Z}^d$

Discrete Analysis, 2021
The structure of translational tilings in $\mathbb{Z}^d$, Discrete Analysis 2021:16, 28 pp. A significant theme in harmonic analysis, already represented by three previous papers in this journal, is that of tiling. In general, a tiling of a group $G$ by
Rachel Greenfeld, Terence Tao
doaj   +1 more source

Structure of quasiconvex virtual joins

Journal of Topology, Volume 18, Issue 2, June 2025.
Abstract Let G$G$ be a relatively hyperbolic group and let Q$Q$ and R$R$ be relatively quasiconvex subgroups. It is known that there are many pairs of finite index subgroups Q′⩽fQ$Q^{\prime } \leqslant _f Q$ and R′⩽fR$R^{\prime } \leqslant _f R$ such that the subgroup join ⟨Q′,R′⟩$\langle Q^{\prime }, R^{\prime } \rangle$ is also relatively quasiconvex,
Lawk Mineh
wiley   +1 more source

The abelianization of the elementary group of rank two

Proceedings of the Edinburgh Mathematical Society
Abstract For an arbitrary ring A, we study the abelianization of the elementary group $\mathit{{\rm E}}_2(A)$ . In particular, we show that for a commutative ring A there exists an exact sequence \begin{equation*} {\rm K}_2(2,A)/{\rm C}(2,A) \rightarrow A/M \rightarrow \mathit{{\rm E}}_2(A)^{\rm ab ...
Behrooz Mirzaii, Elvis Torres Pérez
openaire   +2 more sources

An Algebraic Roadmap of Particle Theories

Annalen der Physik, Volume 537, Issue 4, April 2025.
The SO(10) grand unified theory, the Georgi–Glashow SU(5) grand unified theory, the Pati–Salam model, the Left–Right Symmetric model, and the Standard model have been studied extensively since the 1970s. Recasting these models in a division algebraic language elucidates how they are each in fact connected.
Nichol Furey
wiley   +1 more source

A characterization of some finite simple groups by their character codegrees

Mathematische Nachrichten, Volume 298, Issue 4, Page 1356-1369, April 2025.
Abstract Let G$G$ be a finite group and let χ$\chi$ be a complex irreducible character of G$G$. The codegree of χ$\chi$ is defined by cod(χ)=|G:ker(χ)|/χ(1)$\textrm {cod}(\chi)=|G:\textrm {ker}(\chi)|/\chi (1)$, where ker(χ)$\textrm {ker}(\chi)$ is the kernel of χ$\chi$.
Hung P. Tong‐Viet
wiley   +1 more source

Sum structures in abelian groups

Examples and Counterexamples, 2023
Any set S of elements from an abelian group produces a graph with colored edges G(S), with its points the elements of S, and the edge between points P and Q assigned for its “color” the sum P+Q.
Robert Haas
doaj  

Topology on the spectrum of the algebra of entire symmetric functions of bounded type on the complex $L_\infty$

Karpatsʹkì Matematičnì Publìkacìï, 2017
It is known that the so-called elementary symmetric polynomials $R_n(x) = \int_{[0,1]}(x(t))^n\,dt$ form an algebraic basis in the algebra of all symmetric continuous polynomials on the complex Banach space $L_\infty,$ which is dense in the Fr\'{e}chet ...
T.V. Vasylyshyn
doaj   +1 more source