Locally Finite Groups Containing Direct Products of Dihedral Groups

IF 0.4 3区数学 Q4 LOGIC

Algebra and Logic Pub Date : 2025-05-14 DOI:10.1007/s10469-025-09785-2

A. A. Shlepkin

引用次数: 0

Abstract

We prove the theorem stating the following. Let G be a locally finite group saturated with groups from a set 𝔐 consisting of direct products of d dihedral groups. Then G is a direct product of d groups of the form B ⋋ <υ>, where B is a locally cyclic group inverted by an involution υ.

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含二面体群的直积的局部有限群

我们证明了下面的定理。设G是一个局部有限群，饱和了由d个二面体群的直积组成的集合𝔐中的群。那么G是d个形式为B <； >；的群的直积，其中B是一个被对合υ反转的局部循环群。

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.