Results 81 to 90 of about 1,010 (185)
FREE GROUPS AND AUTOMORPHISM GROUPS OF INFINITE STRUCTURES
Forum of Mathematics, Sigma, 2014 Given a cardinal $\lambda $ with $\lambda =\lambda ^{\aleph _0}$
PHILIPP LÜCKE, SAHARON SHELAH
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The fundamental group and Galois coverings of hexagonal systems in 3-space
International Journal of Mathematics and Mathematical Sciences, 2006 We consider hexagonal systems embedded into the 3-dimensional space ℝ3. We define the fundamental group π1(G) of such a system G and show that in case G is a finite hexagonal system with boundary, then π1(G) is a (non-Abelian) free group.
J. A. De La Peña, L. Mendoza
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On Algebraic and Definable Closures for Theories of Abelian Groups
Известия Иркутского государственного университета: Серия "Математика"Classifying abelian groups and their elementary theories, a series of characteristics arises that describe certain features of the objects under consideration.
In.I. Pavlyuk
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Free abelian lattice-ordered groups
Annals of Pure and Applied Logic, 2005 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Glass, A. M. W. +2 more
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Localizations of torsion-free abelian groups
Journal of Algebra, 2004 The author considers the localizations of torsion-free Abelian groups, more precisely, the localizations of free groups, of cotorsion-free groups, and of finite rank Butler groups. For Abelian groups \(A,B\) a homomorphism \(\alpha\colon A\to B\) is said to be a `localization' of \(A\) if, for all \(f\colon A\to B\), there is a unique \(\varphi\colon B\
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On free abelian 𝑙-groups [PDF]
Proceedings of the American Mathematical Society, 1973 Let F F denote the free abelian lattice ordered group over an unordered torsion free group G G . Necessary and sufficient conditions are given on G G in order for F F to be an l l -subgroup of a cardinal product of integers. The result encompasses Weinberg’s theorem
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On the number of diamonds in the subgroup lattice of a finite abelian group
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2016 The main goal of the current paper is to determine the total number of diamonds in the subgroup lattice of a finite abelian group. This counting problem is reduced to finite p-groups. Explicit formulas are obtained in some particular cases.
Fodor Dan Gregorian +1 more
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An asymptotically safe solution to the U(1) triviality problem
Physics Letters B, 2017 We explore whether quantum gravity effects within the asymptotic safety paradigm can provide a predictive ultraviolet completion for Abelian gauge theories.
Nicolai Christiansen, Astrid Eichhorn
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Automorphism groups of free groups, surface groups and free abelian groups
, 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 ${\
Bridson, Martin R, Vogtmann, Karen
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The n-ary adding machine and solvable groups [PDF]
International Journal of Group Theory, 2013 We describe under a various conditions abelian subgroups of the automorphism group $Aut(T_n)$ of the regular $n$-ary tree $T_n$, which are normalized by the $n$-ary adding machine $tau=(e,dots, e,tau)sigma_tau$ where $sigma_tau$ is the $n$-cycle $(0, 1 ...
Josimar Da Silva Rocha, Said Sidki
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