Results 11 to 20 of about 120,594 (244)
On Sum-Free Subsets of Abelian Groups [PDF]
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
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Torsion--free abelian groups revisited (2) [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
Phill Schultz
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Small Points and Free Abelian Groups [PDF]
International Mathematics Research Notices, 2015 Let $F$ be an algebraic extension of the rational numbers and $E$ an elliptic curve defined over some number field contained in $F$. The absolute logarithmic Weil height, respectively the N ron-Tate height, induces a norm on $F^*$ modulo torsion, respectively on $E(F)$ modulo torsion.
Robert Grizzard +2 more
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Unitary representability of free abelian topological groups
Applied General Topology, 2008 For every Tikhonov space X the free abelian topological group A(X) and the free locally convex vector space L(X) admit a topologically faithful unitary representation. For compact spaces X this is due to Jorge Galindo.
Vladimir V. Uspenskij
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Automorphism groups of free groups, surface groups and free abelian groups [PDF]
, 2005 The group of 2-by-2 matrices with integer entries and determinant $\pm > 1$ can be identified either with the group of outer automorphisms of a rank two free group or with the group of isotopy classes of homeomorphisms of a 2-dimensional torus. Thus this group is the beginning of three natural sequences of groups, namely the general linear groups ${\
Martin R. Bridson, Karen Vogtmann
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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
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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
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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
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Computing square-free polarized abelian varieties over finite fields [PDF]
, 2020 We give algorithms to compute isomorphism classes of ordinary abelian varieties defined over a finite field $\mathbb{F}_q$ whose characteristic polynomial (of Frobenius) is square-free and of abelian varieties defined over the prime field $\mathbb{F}_p ...
Marseglia, Stefano
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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
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