Results 181 to 190 of about 83,213 (229)

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

Maxima of stable random fields, nonsingular actions and finitely generated abelian groups: A survey

, 2017
This is a self-contained introduction to the applications of ergodic theory of nonsingular (also known as quasi-invariant) group actions and the structure theorem for finitely generated abelian groups on the extreme values of stationary symmetric stable ...
Parthanil Roy
semanticscholar   +1 more source

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.
Edward C. Turner, Daniel A. Voce
openaire   +2 more sources

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.
Edward C. Turner, Charles F. Rocca
openaire   +3 more sources

Quantum Isometry group of dual of finitely generated discrete groups and quantum groups

, 2014
We study quantum isometry groups, denoted by $\mathbb{Q}(\Gamma, S)$, of spectral triples on $C^*_r(\Gamma)$ for a finitely generated discrete group coming from the word-length metric with respect to a symmetric generating set $S$.
Debashish Goswami, A. Mandal
semanticscholar   +1 more source

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 \(Q\).
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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 ...
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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