Results 1 to 10 of about 2,880 (211)

Perpendicularity in an Abelian Group [PDF]

International Journal of Mathematics and Mathematical Sciences, 2013
We give a set of axioms to establish a perpendicularity relation in an Abelian group and then study the existence of perpendicularities in (ℤn,+) and (ℚ+,·) and in certain other groups.
Pentti Haukkanen, Mika Mattila, Jorma K. Merikoski, Timo Tossavainen   +3 more
doaj   +4 more sources

The Abelian group structure of full factorial designs [PDF]

Frontiers in Psychology
This study demonstrates formal connections between Abelian group theory and factorial experimental designs. I begin by showing that full-factorial designs are isomorphic to elementary p-groups.
Nicholas A. Altieri
doaj   +2 more sources

Two-dimensional non-Abelian Thouless pump [PDF]

Nature Communications
Non-Abelian Thouless pumps are periodically driven systems designed by the non-Abelian holonomy principle, in which quantized transport of degenerate eigenstates emerges, exhibiting noncommutative features such that the outcome depends on the pumping ...
Yi-Ke Sun, Zhong-Lei Shan, Zhen-Nan Tian, Qi-Dai Chen, Xu-Lin Zhang   +4 more
doaj   +2 more sources

Sum of the Powers of the Orders of Elements in Finite Abelian Groups [PDF]

Advances in Group Theory and Applications, 2022
Let G be a finite group and let ψ(G) denote the sum of element orders of G; in general ψ_l(G) denotes the sum of the l-th powers of the element orders G where l is a positive integer. We further generalise this by introducing ψ_l(G) for negative integers
Subhrajyoti Saha
doaj   +1 more source

Locally Maximal Subgroups and the Normalizer Condition in p-Groups [PDF]

Advances in Group Theory and Applications, 2023
This work is a continuation of the investigation of a locally nilpotent p-group satisfying the normalizer condition by imposing certain conditions on locally maximal subgroups, where p ≠ 2.
A.O. Asar
doaj   +1 more source

The Groups of Isometries of Metric Spaces over Vector Groups

Mathematics, 2022
In this paper, we consider the groups of isometries of metric spaces arising from finitely generated additive abelian groups. Let A be a finitely generated additive abelian group.
Sheng Bau, Yiming Lei
doaj   +1 more source

On cosmall Abelian groups [PDF]

Journal of Algebra, 2007
In the present paper the authors investigate what happens with Abelian groups with dual properties of some well known homological characterizations of (self-)small Abelian groups (modules). More precisely, an Abelian group \(G\) is called `cosmall' if \(\Hom(\prod_{i\in I}A_i,G)\) and \(\prod_{i\in I}\Hom(A_i,G)\) are naturally isomorphic for all ...
Goldsmith, Brendan, Kolman, O.
openaire   +4 more sources

Binding number for coprime graph of groups

AKCE International Journal of Graphs and Combinatorics, 2023
Let G be a finite group with identity e. The coprime of G, ΓG is a graph with G as the vertex set and two distinct vertices u and v are adjacent if and only if [Formula: see text] In this paper, we characterize the groups for which the binding number of ...
A. Mallika, J. Ahamed Thamimul Ansari
doaj   +1 more source

On Groups whose Subnormal Abelian Subgroups are Normal [PDF]

Advances in Group Theory and Applications, 2022
In the current paper we study the groups, whose subnormal abelian subgroups are normal. We obtained a quite detailed description of such hyperabelian groups with a periodic Baer radical.
L.A. Kurdachenko, J. Otal, I.Ya. Subbotin   +2 more
doaj   +1 more source

The Baer–Kaplansky Theorem for all abelian groups and modules

Bulletin of Mathematical Sciences, 2022
It is shown that the Baer–Kaplansky Theorem can be extended to all abelian groups provided that the rings of endomorphisms of groups are replaced by trusses of endomorphisms of corresponding heaps.
Simion Breaz, Tomasz Brzeziński
doaj   +1 more source