Results 11 to 20 of about 2,701,761 (237)
Strong ordered Abelian groups and dp-rank [PDF]
arXiv, 2017 We provide an algebraic characterization of strong ordered Abelian groups: An ordered Abelian group is strong iff it has bounded regular rank and almost finite dimension. Moreover, we show that any strong ordered Abelian group has finite Dp-rank. We also provide a formula that computes the exact valued of the Dp-rank of any ordered Abelian group.
arxiv +3 more sources
Radical groups of finite abelian subgroup rank [PDF]
Illinois Journal of Mathematics, 1972 Reinhold Baer, Hermann Heineken
openalex +4 more sources
Separating invariants for certain representations of the elementary Abelian p-groups of rank two
AIMS MathematicsFor a finite group acting linearly on a vector space, a separating set is a subset of the invariant ring that separates the orbits. In this paper, we determined explicit separating sets in the corresponding rings of invariants for four families of finite
Panpan Jia , Jizhu Nan, Yongsheng Ma
doaj +2 more sources
Maximal abelian subgroups of the finite symmetric group [PDF]
International Journal of Group Theory, 2021 Let $G$ be a group. For an element $a\in G$, denote by $\cs(a)$ the second centralizer of~$a$ in~$G$, which is the set of all elements $b\in G$ such that $bx=xb$ for every $x\in G$ that commutes with $a$.
Janusz Konieczny
doaj +1 more source
Square subgroups of rank two abelian groups [PDF]
Colloquium Mathematicum, 2009 A. M. Aghdam, Alireza Najafizadeh
openalex +3 more sources
Cohomology of moduli spaces of Del Pezzo surfaces
Mathematische Nachrichten, Volume 296, Issue 1, Page 80-101, January 2023., 2023 Abstract We compute the rational Betti cohomology groups of the coarse moduli spaces of geometrically marked Del Pezzo surfaces of degree 3 and 4 as representations of the Weyl groups of the corresponding root systems. The proof uses a blend of methods from point counting over finite fields and techniques from arrangement complements.
Olof Bergvall, Frank Gounelas
wiley +1 more source
New models for some free algebras of small ranks
Karpatsʹkì Matematičnì Publìkacìï, 2023 Dimonoids, generalized digroups and doppelsemigroups are algebras defined on a set with two binary associative operations. The notion of a dimonoid was introduced by J.-L.
A.V. Zhuchok, G.F. Pilz
doaj +1 more source
Conformal Interactions Between Matter and Higher‐Spin (Super)Fields
Fortschritte der Physik, Volume 71, Issue 1, January 2023., 2023 Abstract In even spacetime dimensions, the interacting bosonic conformal higher‐spin (CHS) theory can be realised as an induced action. The main ingredient in this definition is the model S[φ,h]$\mathcal {S}[\varphi ,h]$ describing a complex scalar field φ coupled to an infinite set of background CHS fields h, with S[φ,h]$\mathcal {S}[\varphi ,h ...
Sergei M. Kuzenko +2 more
wiley +1 more source
Extensions of Abelian Groups of Finite Rank [PDF]
Proceedings of the American Mathematical Society, 1975 Every abelian group X oi finite rank arises as the middle group of an extension e: 0 -> F -> A" -> T->0 where F is free of finite rank zz and T is torsion with the p-ranks of T finite for all primes p. Given such a T and F we study the equivalence classes of such extensions which result from stipulating that two extensions e . : 0 -» F -> X. -» T -> 0,
S. A. Khabbaz, E. H. Toubassi
openaire +1 more source
Rings on Abelian torsion-free groups of finite rank [PDF]
Beiträge zur Algebra und Geometrie / Contributions to Algebra and Geometry, 2021 This paper will be published in Beitr\"{a}ge zur Algebra und Geometrie / Contributions to Algebra and ...
E. I. Kompantseva, A. A. Tuganbaev
openaire +3 more sources