Results 191 to 200 of about 84,430 (244)

On the product of finitely generated Abelian groups

Mathematical Notes of the Academy of Sciences of the USSR, 1973
It is shown that if a group G is a product of Abelian subgroups A and B one of which is finitely generated, then the group G will have a nontrivial normal subgroup that is contained either in A, or in B.
N. F. Sesekin
semanticscholar   +2 more sources

Quantifying lawlessness in finitely generated groups

Journal of group theroy, 2021
We introduce a quantitative notion of lawlessness for finitely generated groups, encoded by the lawlessness growth function A Γ : N → N \mathcal{A}_{\Gamma}\colon\mathbb{N}\to\mathbb{N} .
Henry Bradford
semanticscholar   +1 more source

TEST ELEMENTS IN FINITELY GENERATED ABELIAN GROUPS

International Journal of Algebra and Computation, 2002
We determine which finitely generated abelian groups have test elements and give examples when they exist.
Rocca, Charles F. jun., Turner, Edward C.   +1 more
openaire   +2 more sources

Tame automorphisms of finitely generated abelian groups

Proceedings of the Edinburgh Mathematical Society, 1998
We characterize tame automorphisms of finitely generated abelian groups via a simple determinant condition.
Turner, Edward C., Voce, Daniel A.
openaire   +1 more source

Abelian Subgroups of Finitely Generated Kleinian Groups are Separable

Bulletin of the London Mathematical Society, 1999
A subgroup \(H\) of \(G\) is called separable in \(G\) if it is an intersection of finite-index subgroups of \(G\). This generalizes the well-known property of residual finiteness, which is the condition that the trivial subgroup is separable in \(G\).
E. Allman, E. Hamilton
semanticscholar   +3 more sources

AF-Embeddings of the Crossed Products of AH-Algebras by Finitely Generated Abelian Groups

, 2007
Let $X$ be a compact metric space and let $\Lambda$ be a $\Z^k$ ($k\ge 1$) action on $X.$ We give a solution to a version of Voiculescu's problem of AF-embedding: The crossed product $C(X)\rtimes_{\Lambda}\Z^k$ can be embedded into a unital simple AF ...
Huaxin Lin
semanticscholar   +1 more source

Systems Theory over Finitely Generated Abelian Groups

2000
A decision which has to be made in systems theory regards the choice of the space where the signals are assumed to take place. This is a crucial choice when we deal with continuous-time systems governed by non-linear or by partial differential equations while it becomes a less relevant issue when we are dealing with linear systems described by linear ...
FAGNANI F., ZAMPIERI, SANDRO
openaire   +3 more sources

Universally generic finitely generated ordered Abelian groups

Order, 1994
See the review of the preliminary version [Seminarber., Humboldt-Univ. Berlin, Sekt. Math. 110, 39-45 (1990)] in Zbl 0716.03031.
Dahn, Bernd I., Lenski, Wolfgang
openaire   +2 more sources

Concerning automorphisms in finitely generated Abelian groups

Mathematical Proceedings of the Cambridge Philosophical Society, 1963
Of particular importance in the structure theory of finitely generated groups are those groups G having the property ℳd that for any two sets of generators g1, …, gd; h1, …, hd of G there is an automorphism θ of G such that (i = 1, …, d). Gaschütz(1) proved that all groups G having† ℳd also possess a further manifestation of symmetry, the property ...
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COHOMOLOGY OF FINITELY GENERATED ABELIAN GROUPS

1991
Let \(Q\) be a finitely generated abelian group and \(R\) a commutative ring. The author constructs a primitively generated cocommutative differential graded Hopf algebra \(A(Q)\) whose homology algebra is isomorphic, as \(R\)-algebra, to the cohomology ring of \(Q\).
openaire   +2 more sources