Results 51 to 60 of about 493 (149)

Abelian unipotent subgroups of reductive groups

Journal of Pure and Applied Algebra, 2002
Let G be a connected reductive group defined over an algebraically closed field k of characteristic p > 0. The purpose of this paper is two-fold. First, when p is a good prime, we give a new proof of the ``order formula'' of D. Testerman for unipotent elements in G; moreover, we show that the same formula determines the p-nilpotence degree of the ...
openaire   +2 more sources

Spectral Analysis Implies Spectral Synthesis

Mathematics
In this paper we show that spectral analysis implies spectral synthesis for arbitrary varieties on locally compact Abelian groups that have no discrete subgroups of an infinite torsion-free rank.
László Székelyhidi
doaj   +1 more source

On a question of Jaikin-Zapirain about the average order elements of finite groups [PDF]

International Journal of Group Theory
For a finite group $G$, the average order $o(G)$ is defined to be the average of all order elements in $G$, that is $o( G)=\frac{1}{|G|}\sum_{x\in G}o(x)$, where $o(x)$ is the order of element $x$ in $G$.
Bijan Taeri, Ziba Tooshmalani
doaj   +1 more source

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

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  

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

Abelian subgroups of Helly groups

, 2022
2 pages. Comments are welcome!
openaire   +2 more sources

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