Results 151 to 160 of about 1,787 (195)

Complexes in Abelian Groups

Canadian Journal of Mathematics, 1954
Let G be an abelian group of order [G] ≤ ∞. Let A = {a}, B = {b}, … denote non-empty finite complexes in G. Let [A] be the number of elements of A. Finally putA + B = {a + b}.
Scherk, Peter, Kemperman, J. H. B.
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COMPUTABLE ABELIAN GROUPS

The Bulletin of Symbolic Logic, 2014
AbstractWe provide an introduction to methods and recent results on infinitely generated abelian groups with decidable word problem.
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Actions of abelian groups on groups

Journal of Group Theory, 2007
Let G be a group and A a finitely generated abelian subgroup of Aut(G). If G is the union of a finitely many A-orbits then G is finite.
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Abelian RE-Groups

Mathematical Notes, 2020
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kolenova, E. M., Pushkova, T. A.
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On cancellable Abelian groups

Topology and its Applications, 2018
An abelian group \(N\) equipped with the discrete topology is called cancellable if for any two abelian topological groups \(G\) and \(H\), the product group \(G \times N \cong H \times N\) if and only if \(G \cong H\), where the symbol \(\cong\) means the topological isomorphism the between groups.
Peng, De Kui, He, Wei
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A PROBLEM FOR ABELIAN GROUPS

Asian-European Journal of Mathematics, 2008
A problem for Abelian groups is formulated with motivations from the theory of constant weight codes. The problem is solved for the case (ℤ2)r.
Katona, Gyula, Makar-Limanov, Leonid
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MORPHIC ABELIAN GROUPS

Journal of Algebra and Its Applications, 2010
An R-module RM is called morphic if M/ im α ≅ ker α for every endomorphism α of M, that is, if the dual of the Noether isomorphism theorem holds. Mostly all morphic Z-modules are determined leaving open some classes of nonsplitting mixed groups, which actually cannot be completely characterized.
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Mixed Abelian Groups

Canadian Journal of Mathematics, 1967
The difficulties encountered in the theory of mixed Abelian groups can become decidedly less complex, if it is possible to reduce the question to mixed groups whose torsion subgroup is 𝒫-primary. Call such a group a p-mixed group. In §1 we show that the splitting problem for a mixed group is reducible to the same problem for certain associated 𝒫-mixed ...
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Abelianization of space groups

Acta Crystallographica Section A Foundations of Crystallography, 2008
The abelianization of a group is its commutator quotient group. In this paper, we provide tables of the abelianizations of all the n-dimensional space groups for n = 1, 2, 3. We prove that the exponent of the torsion subgroup of the abelianization of an arbitrary n-dimensional space group Gamma divides the order of the point group of Gamma.
John G, Ratcliffe, Steven T, Tschantz
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On homogeneous abelian groups

Siberian Mathematical Journal, 1997
Let \(A\) be a group. If \(a_1,\ldots,a_n\in A\) then, when considering a model \((A,a_1,\ldots,a_n)\), we assume that the elements \(a_1,\ldots,a_n\) are distinguished as constants. If models \(A\) and \(B\) are elementarily equivalent then we write \(A\equiv B\).
Kalenova, B. S., Khisamiev, N. G.
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