Results 81 to 90 of about 1,787 (195)

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
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Bracket Products on Locally Compact Abelian Groups [PDF]

Journal of Sciences, Islamic Republic of Iran, 2008
We define a new function-valued inner product on L2(G), called ?-bracket product, where G is a locally compact abelian group and ? is a topological isomorphism on G.
doaj  

Extending Topological Abelian Groups by the Unit Circle

Abstract and Applied Analysis, 2013
A twisted sum in the category of topological Abelian groups is a short exact sequence 0→Y→X→Z→0 where all maps are assumed to be continuous and open onto their images. The twisted sum splits if it is equivalent to 0→Y→Y×Z→Z→0.
Hugo J. Bello, María Jesús Chasco, Xabier Domínguez   +2 more
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A Bilinear Bogolyubov Argument in Abelian Groups

Discrete Analysis
A bilinear Bogolyubov argument in abelian groups, Discrete Analysis 2024:20, 41 pp. Bogolyubov's argument states that if $A$ is a dense subset of $\mathbb Z_n$, then $2A-2A=\{x+y-z-w:x,y,z,w\in A\}$ contains a large and highly structured subset known ...
Luka Milićević
doaj   +1 more source

Some special classes of n-abelian groups [PDF]

International Journal of Group Theory, 2012
Let n be an integer. A group G is said to be n-abelian if the map phi_n that sends g to g^n is an endomorphism of G. Then (xy)^n=x^ny^n for all x,y in G, from which it follows [x^n,y]=[x,y]^n=[x,y^n]. It is also easy to see that a group G is n-abelian if
Costantino Delizia, Antonio Tortora
doaj  

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

Harmonic Synthesis on Group Extensions

Mathematics
Harmonic synthesis describes translation invariant linear spaces of continuous complex valued functions on locally compact abelian groups. The basic result due to L.
László Székelyhidi
doaj   +1 more source

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

NORMAL 6-VALENT CAYLEY GRAPHS OF ABELIAN GROUPS

International Journal of Industrial Engineering and Production Research, 2008
: We call a Cayley graph Γ = Cay (G, S) normal for G, if the right regular representation R(G) of G is normal in the full automorphism group of Aut(Γ). In this paper, a classification of all non-normal Cayley graphs of finite abelian group with valency 6
M. Alaeiyan
doaj  

Non-abelian extensions and Wells exact sequences of Hom-pre-Lie algebras

Mathematics Open
In this paper, we investigate non-abelian extensions of Hom-pre-Lie algebras and extensibility of pairs of automorphisms about non-abelian extensions.
Qinxiu Sun, Weiping Jiao
doaj   +1 more source