Results 71 to 80 of about 544 (187)

On Parametrization of the Linear GL(4,C) and Unitary SU(4) Groups in Terms of Dirac Matrices

Symmetry, Integrability and Geometry: Methods and Applications, 2008
Parametrization of 4 × 4-matrices G of the complex linear group GL(4,C) in terms of four complex 4-vector parameters (k,m,n,l) is investigated. Additional restrictions separating some subgroups of GL(4,C) are given explicitly.
Natalia G. Tokarevskaya, Andrei A. Bogush, Victor M. Red'kov   +2 more
doaj   +1 more source

Sylow like theorems for V(ZG) [PDF]

International Journal of Group Theory, 2015
The main part of this article is a survey on torsion subgroups of the unit group of an integral group ring. It contains the major parts of my talk given at the conference "Groups, Group Rings and Related Topics" at UAEU in AlAin October 2013.
Wolfgang Kimmerle
doaj  

Multipliers on weighted Hardy spaces over certain totally disconnected groups

International Journal of Mathematics and Mathematical Sciences, 1988
In this note, we consider the multipliers on weighted H1 spaces over totally disconnected locally compact abelian groups with a suitable sequence of open compact subgroups (Vilenkin groups).
Toshiyuki Kitada
doaj   +1 more source

An Overview of Some New Classes of Abelian p-Groups [PDF]

Advances in Group Theory and Applications
This paper surveys results obtained in the last twelve years that gave origin to several new classes of abelian p-groups. These results have their source in the definition of the intrinsic algebraic entropy of the endomorphisms of p-groups, and are ...
Luigi Salce
doaj   +1 more source

On the Capability of Finite Abelian Pairs of Groups

Journal of Mathematical Extension, 2015
A group G is called capable if it is isomorphic to the group of inner automorphisms of some group H. The notion of capable groups was extended to capable pairs by G. Ellis, in 1996. Recently, a classification of capable pairs of finite abelian groups was
A. Hokmabadi, M. Afkanpour, S. Kayvanfar
doaj  

On characterized subgroups of compact abelian groups

Topology and its Applications, 2013
A subgroup \(H\) of a topological abelian group \(X\) is called characterized if there exists a sequence \(\mathfrak{u}=\{u_n\}\) of characters of \(X\) such that \(H=s_{\mathfrak{u}}(X)\), where \(s_{\mathfrak{u}}(X):=\{x\in X| (u_n,x)\to 0 \text{ in } \mathbb{T}\}\) and \(\mathbb T\) is the group of reals modulo \(\mathbb Z\).
DIKRANJAN, Dikran, Saak GABRIYELYAN
openaire   +2 more sources

Structure of Finite-Dimensional Protori

Axioms, 2019
A Structure Theorem for Protori is derived for the category of finite-dimensional protori (compact connected abelian groups), which details the interplay between the properties of density, discreteness, torsion, and divisibility within a finite ...
Wayne Lewis
doaj   +1 more source

Factorizing profinite groups into two Abelian subgroups [PDF]

International Journal of Group Theory, 2013
We prove that the class of profinite groups $G$ that have a factorization $G=AB$with $A$ and $B$ abelian closed subgroups, is closed under taking strict projective limits.This is a generalization of a recent result by K.H.~Hofmann and F.G.~Russo.As an ...
Wolfgang Herfort
doaj  

On the nonperiodic groups, whose subgroups of infinite special rank are transitively normal

Доповiдi Нацiональної академiї наук України
This paper devoted to the nonperiodic locally generalized radical groups, whose subgroups of infinite special rank are transitively normal. We proved that if such a group G includes an ascendant locally nilpotent subgroup of infinite special rank, then G
L.A. Kurdachenko, I.Ya. Subbotin, T.V. Velychko   +2 more
doaj   +1 more source

Algebraic obstructions to sequential convergence in Hausdorrf abelian groups

International Journal of Mathematics and Mathematical Sciences, 1998
Given an abelian group G and a non-trivial sequence in G, when will it be possible to construct a Hausdroff topology on G that allows the sequence to converge?
Bradd Clark, Sharon Cates
doaj   +1 more source