Results 111 to 120 of about 17,375 (238)

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

International 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  

Growth functions for some uniformly amenable groups

Open 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, Wajnryb Bronislaw, Witowicz Paweł, Orzechowski Kamil   +3 more
doaj   +1 more source

Abelian codes in principal ideal group algebras

, 2013
We study abelian codes in principal ideal group algebras (PIGAs). We first give an algebraic characterization of abelian codes in any group algebra and provide some general results.
Liu, Hongwei, Xie, Xiaoli, Jitman, Somphong, Ling, San   +3 more
core   +1 more source

On Abelian group representability of finite groups

, 2014
A set of quasi-uniform random variables X1,…,Xn may be generated from a finite group G and n of its subgroups, with the corresponding entropic vector depending on the subgroup structure of G.
Thomas, Eldho K., Oggier, Frédérique, Markin, Nadya   +2 more
core   +1 more source

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

Journal 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

Journal 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

Pcf and abelian groups

form, 2013
Abstract. We deal with some pcf (possible cofinality theory) investigations mostly motivated by questions in abelian group theory. We concentrate on applications to test problems but we expect the combinatorics will have reasonably wide applications.
openaire   +2 more sources

Commutative modular group algebras of $p$-mixed and $p$-splitting abelian $\Sigma$-groups

, 2002
summary:Let $G$ be a $p$-mixed abelian group and $R$ is a commutative perfect integral domain of $\operatorname{char} R = p > 0$. Then, the first main result is that the group of all normalized invertible elements $V(RG)$ is a $\Sigma $-group if and only
Danchev, Peter
core  

Coloring abelian groups

Discrete Mathematics, 1982
AbstractA sufficient (and necessary, if n=2) condition for the existence of a particular kind of n-coloring of an abelian group is given, and applied to show that (a) the real line is colorable with two colors so that the distance 1 is forbidden for one color, and the distance s>0 for the other, or so that both 1 and s are forbidden for both colors, if
openaire   +2 more sources

The dp-rank of abelian groups

, 2019
An equation to compute the dp-rank of any abelian group is given. It is also shown that its dp-rank, or more generally that of any one-based group, agrees with its Vapnik–Chervonenkis density.
Halevi, Yatir, Palacín Cruz, Daniel
core   +1 more source