Results 51 to 60 of about 493 (149)
Abelian unipotent subgroups of reductive groups
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
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
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On a question of Jaikin-Zapirain about the average order elements of finite groups [PDF]
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
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On Parametrization of the Linear GL(4,C) and Unitary SU(4) Groups in Terms of Dirac Matrices
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 +2 more
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Sylow like theorems for V(ZG) [PDF]
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
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Multipliers on weighted Hardy spaces over certain totally disconnected groups
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
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On the Capability of Finite Abelian Pairs of Groups
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
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Structure of Finite-Dimensional Protori
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
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Factorizing profinite groups into two Abelian subgroups [PDF]
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
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