有限简单群共轭旋转的三重生成

IF 0.4 3区数学 Q4 LOGIC

Algebra and Logic Pub Date : 2024-10-02 DOI:10.1007/s10469-024-09753-2

M. A. Vsemirnov, Ya. N. Nuzhin

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引用次数: 0

摘要

研究证明，在有限单非阿贝尔群中，只有 U3(3) 群和 A8 群不是由三个共轭渐开线生成的。这一结果是根据关于描述由两个阶 2 和阶 3 元素生成的有限简单群的一个已知猜想得出的。

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Generating Triples of Conjugate Involutions for Finite Simple Groups

It is proved that among finite simple non-Abelian groups only the groups U₃(3) and A₈ are not generated by three conjugate involutions. This result is obtained modulo a known conjecture on the description of finite simple groups generated by two elements of orders 2 and 3.

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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.