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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   +1 more source

Finitely Generated Abelian n-Ary Groups

Journal of Mathematical Sciences
The structure of finitely generated abelian groups is well-known. In this paper, the author provides a similar result for finitely generated \(n\)-ary abelian groups. An \(n\)-ary group \((G, f)\) is called abelian if and only if for all \(x_1, x_2, \ldots, x_n\in G\) and all permutation \(\sigma\), we have \[ f(x_{\sigma(1)}, x_{\sigma(2)}, \ldots, x_{
openaire   +2 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

Linear equations with monomial constraints and decision problems in abelian-by-cyclic groups

ACM-SIAM Symposium on Discrete Algorithms
We show that it is undecidable whether a system of linear equations over the Laurent polynomial ring $\mathbb{Z}[X^{\pm}]$ admit solutions where a specified subset of variables take value in the set of monomials $\{X^z \mid z \in \mathbb{Z}\}$.
Ruiwen Dong
semanticscholar   +1 more source

Cancer statistics for African American/Black People 2022

Ca-A Cancer Journal for Clinicians, 2022
Angela Giaquinto   +2 more
exaly  

Cancer statistics for the US Hispanic/Latino population, 2021

Ca-A Cancer Journal for Clinicians, 2021
Kimberly D Miller   +2 more
exaly  

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