Finitely generated metabelian groups arising from integer polynomials

IF 0.4 3区数学 Q4 MATHEMATICS

Journal of Group Theory Pub Date : 2023-09-27 DOI:10.1515/jgth-2023-0046

Derek J. S. Robinson

引用次数: 0

Abstract

Abstract It is shown that there is a finitely generated metabelian group of finite torsion-free rank associated with each non-constant integer polynomial. It is shown how many structural properties of the group can be detected by inspecting the polynomial.

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由整数多项式产生的有限生成亚元群

摘要本文证明了每一个非常整数多项式都存在一个有限生成的有限无扭秩亚群。结果表明，通过对多项式的检验，可以检测到基团的多少结构性质。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of Group Theory 数学-数学

CiteScore

1.00

自引率

0.00%

发文量

审稿时长

6 months

期刊介绍： The Journal of Group Theory is devoted to the publication of original research articles in all aspects of group theory. Articles concerning applications of group theory and articles from research areas which have a significant impact on group theory will also be considered. Topics: Group Theory- Representation Theory of Groups- Computational Aspects of Group Theory- Combinatorics and Graph Theory- Algebra and Number Theory