The Baer–Suzuki Theorem for Groups of 3-Exponent 1

IF 0.4 3区数学 Q4 LOGIC

Algebra and Logic Pub Date : 2024-04-19 DOI:10.1007/s10469-024-09744-3

J. Tang, N. Yang, A. S. Mamontov

引用次数: 0

Abstract

We prove a theorem that generalizes Lemma 4 in the paper of A. S. Mamontov [Sib. Math. J., 54, No. 1, 114-118 (2013)] concerning the validity of the Baer–Suzuki theorem in groups of period 12. The results of the present work can be used in studying groups with a given set of element orders, also called a spectrum.

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3 分 1 群的贝尔-铃木定理

我们证明了 A. S. Mamontov [Sib. Math. J., 54, No. 1, 114-118 (2013)]论文中关于周期为 12 的群中 Baer-Suzuki 定理有效性的定理 4。本工作的结果可用于研究具有给定元素阶集（也称为谱）的群。

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

Algebra and Logic 数学-数学

CiteScore

1.10

自引率

20.00%

发文量

审稿时长

>12 weeks

期刊介绍： This bimonthly journal publishes results of the latest research in the areas of modern general algebra and of logic considered primarily from an algebraic viewpoint. The algebraic papers, constituting the major part of the contents, are concerned with studies in such fields as ordered, almost torsion-free, nilpotent, and metabelian groups; isomorphism rings; Lie algebras; Frattini subgroups; and clusters of algebras. In the area of logic, the periodical covers such topics as hierarchical sets, logical automata, and recursive functions. Algebra and Logic is a translation of ALGEBRA I LOGIKA, a publication of the Siberian Fund for Algebra and Logic and the Institute of Mathematics of the Siberian Branch of the Russian Academy of Sciences. All articles are peer-reviewed.