Results 81 to 90 of about 11,644 (234)

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
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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  

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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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
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Abelian Groups Which Contain No More Than 25 Proper Subgroups [PDF]

, 1940
G. A. Miller
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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

Certain finite abelian groups with the Redei k-property [PDF]

International Journal of Group Theory, 2013
Three infinite families of finite abeliab groups will be described such that each members of these families has the Redei k-property for many non-trivial values of k.
Sandor Szabo
doaj  

Strongly semisimple abelian groups [PDF]

Pacific Journal of Mathematics, 1974
Beaumont, R. A., Lawver, D. A.
openaire   +3 more sources

On the order of a non-abelian representation group of a slim dense near hexagon [PDF]

, 2008
Binod Kumar Sahoo, N. S. Narasimha Sastry   +1 more
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