Results 171 to 180 of about 34,296 (212)

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   +4 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

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

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 ...
openaire   +3 more sources

Finitely Generated Abelian Groups

1980
In order to solve our particular problem of finding all possible abelian groups of order p2, p prime, or even the larger problem of finding all possible abelian groups of given order n, we need to consider the structure of finite abelian groups only. However, it turns out to be not much more difficult to find the structure of a wider class of abelian ...
openaire   +2 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.
Wolfgang Lenski, Bernd I. Dahn
openaire   +3 more sources

FINITELY GENERATED MODULES OVER A DYAD OF TWO LOCAL DEDEKIND RINGS, AND FINITE GROUPS WITH AN ABELIAN NORMAL DIVISOR OF INDEX p.

, 1969
We give a classification of finite modules over the integral group ring of a prime order cyclic group, and of finite groups with an abelian normal divisor of index p.
L. Nazarova, A. Roiter
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   +4 more sources

ON THE ELEMENTARY THEORY OF A FINITELY GENERATED ALMOST SOLVABLE GROUP

, 1984
It is shown that a finitely generated almost solvable group with decidable theory is almost Abelian. Bibliography. 13 titles.
G. A. Noskov
semanticscholar   +1 more source

The q-tensor square of finitely generated nilpotent groups, q odd

, 2017
In the present paper, the authors extend to the q-tensor square G ⊗qG of a group G, q an odd positive integer, some structural results due to Blyth, Fumagalli and Morigi concerning the non-abelian tensor square G ⊗ G (q = 0).
N. Rocco, E. Rodrigues
semanticscholar   +1 more source