Results 1 to 10 of about 1,010 (185)

Free dihedral actions on abelian varieties

Cubo, 2021
We give a simple construction for hyperelliptic varieties, defined as the quotient of a complex torus by the action of a finite group $G$ that contains no translations and acts freely, with $G$ any dihedral group. This generalizes a construction given by
Bruno Aguiló Vidal
doaj   +1 more source

The group of primitive Pythagorean triples over Gaussian integers

Heliyon, 2023
A group structure of the set of primitive Pythagorean triples over Gaussian integers is investigated. In addition, we show that it is a free abelian group.
Attawut Wongpradit, Ekkasit Sangwisut
doaj   +1 more source

ON THE GROUPS WITH THE PARTICULAR NON-COMMUTING GRAPHS [PDF]

Journal of Algebraic Systems, 2015
Let $G$ be a non-abelian finite group. In this paper, we prove that $Gamma(G)$ is $K_4$-free if and only if $G cong A times P$, where $A$ is an abelian group, $P$ is a $2$-group and $G/Z(G) cong mathbb{ Z}_2 times mathbb{Z}_2$.
Neda Ahanjideh, Hajar Mousavi
doaj   +1 more source

On Sum-Free Subsets of Abelian Groups

Axioms, 2023
In this paper, we discuss some of the key properties of sum-free subsets of abelian groups. Our discussion has been designed with a broader readership in mind and is hence not overly technical.
Renato Cordeiro de Amorim
doaj   +1 more source

Torsion-free abelian groups revisited [PDF]

Rendiconti del Seminario Matematico della Università di Padova, 2020
Let G be a torsion-free abelian group of finite rank. The orbits of the action of Aut( G ) on the set of maximal independent subsets of
openaire   +2 more sources

The character of free topological groups I

Applied General Topology, 2005
A systematic analysis is made of the character of the free and free abelian topological groups on uniform spaces and on topological spaces. In the case of the free abelian topological group on a uniform space, expressions are given for the character in ...
Peter Nickolas, Mikhail Tkachenko
doaj   +1 more source

New models for some free algebras of small ranks

Karpatsʹkì Matematičnì Publìkacìï, 2023
Dimonoids, generalized digroups and doppelsemigroups are algebras defined on a set with two binary associative operations. The notion of a dimonoid was introduced by J.-L.
A.V. Zhuchok, G.F. Pilz
doaj   +1 more source

From free abelian groups to free abelian ℓ-groups

Mathematica Slovaca, 2011
Abstract For each n, the free abelian group F on countably many free generators will be equipped with a monoid P n making (F,P n) into the free n-generator abelian ℓ-group. This is a generalization of the main result of the second author, published in the J. Pure Appl.
MUNDICI, DANIELE, J. Kuehr
openaire   +2 more sources

Intuitionistic Free Abelian Groups

Mathematical Logic Quarterly, 1988
The paper provides an intuitionistic construction of free abelian groups over arbitrary sets. It shows that a subgroup of a free abelian group is not necessarily itself free abelian, and that \(''free=projective''\Rightarrow full\) AC, for abelian groups. The paper uses Kripke models. The second part deals with the conditions for admitting an apartness
Dalen, D. van, Vries, F.-J. de
openaire   +3 more sources

On Some Results of a Torsion-Free Abelian Kernel Group

Recoletos Multidisciplinary Research Journal, 2014
In [6], for any torsion-free abelian groups Gand H, the kernel of Hin GisfHGGHHomfker, ker,. The kernel of Hin Gis a pure fully invariant subgroup of G.
Ricky B. Villeta
doaj   +1 more source