Results 81 to 90 of about 186,356 (199)

ON THE SUBGROUP LATTICE OF AN ABELIAN FINITE GROUP

open access: yesRatio Mathematica, 2005
The aim of this paper is to give some connections between the structure of an abelian finite group and the structure of its subgroup lattice,
Marius Tarnauceanu
doaj  

Some remarks on regular subgroups of the affine group [PDF]

open access: yesInternational Journal of Group Theory, 2012
Let $V$ be a vector space over a field $F$ of characteristic $pgeq 0$ and let $T$ be a regular subgroup of the affine group $AGL(V)$. In the finite dimensional case we show that, if $T$ is abelian or $p>0$, then $T$ is unipotent. For $T$ abelian, pushing
M. Chiara Tamburini Bellani
doaj  

On a variation of Sands' method

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1986
A subset of a finite additive abelian group G is a Z-set if for all a∈G, na∈G for all n∈Z. The group G is called “Z-good” if in every factorization G=A⊕B, where A and B are Z-sets at least one factor is periodic. Otherwise G is called “Z-bad.”
Evelyn E. Obaid
doaj   +1 more source

Automorphism Groups of Abelian p-Groups [PDF]

open access: yesProceedings of the American Mathematical Society, 1975
Let r be the automorphism group of a nonelementary reduced abelian p-group, p > 5. It is shown that every noncentral norinal subgroup of r contains a noncentral elementary abelian normal p-subgroup of r of rank at least 2. 1. The result. Throughout the following, G is a reduced p-primary abelian group, p > 5, and F is the group of all automorphisms of ...
openaire   +2 more sources

Growth functions for some uniformly amenable groups

open access: yesOpen Mathematics, 2017
We present a simple constructive proof of the fact that every abelian discrete group is uniformly amenable. We improve the growth function obtained earlier and find the optimal growth function in a particular case.
Dronka Janusz   +3 more
doaj   +1 more source

Hopfian additive groups of rings [PDF]

open access: yesИзвестия Саратовского университета. Новая серия: Математика. Механика. Информатика
A group is called Hopfian  if it is not isomorphic to any of its proper factor groups, or, equivalently, any of its epimorphisms on itself is an isomorphism, i.e., an automorphism. This property was first proved by the Swiss mathematician H.
Kaigorodov, Evgeniy Vladimirovich
doaj   +1 more source

A gap theorem for the ZL-amenability constant of a finite group [PDF]

open access: yesInternational Journal of Group Theory, 2016
It was shown in [A. Azimifard, E. Samei, N. Spronk, JFA 256 (2009)] that the ZL-amenability constant of a finite group is always at least~$1$, with equality if and only if the group is abelian. It was also shown in [A. Azimifard, E. Samei, N.
Yemon Choi
doaj  

C*-algebras on r-discrete Abelian Groupoids [PDF]

open access: yesJournal of Sciences, Islamic Republic of Iran, 2017
We study certain function algebras and their operator algebra completions on r-discrete abelian groupoids, the corresponding conditional expectations, maximal abelian subalgebras (masa) and eigen-functionals.
H. Myrnouri
doaj  

Tame logarithmic signatures of abelian groups

open access: yesJournal of Mathematical Cryptology, 2017
The security of the asymmetric cryptosystem MST1{{}_{1}} relies on the hardness of factoring group elements with respect to a logarithmic signature. In this paper we investigate the factorization problem with respect to logarithmic signatures of abelian ...
Reichl Dominik
doaj   +1 more source

Finitely generated subgroups as von Neumann radicals of an Abelian group [PDF]

open access: yesМатематичні Студії, 2012
Let G be an infinite Abelian group. We give a complete characterization of those finitely generated subgroups of G which are the von Neumann radicals for some Hausdorff group topologies on G.
S. S. Gabriyelyan
doaj  

Home - About - Disclaimer - Privacy