On Intersections of π-Hall Subgroups in a Dπ-Group with Sporadic and Alternating Composition Factors

IF 0.4 3区数学 Q4 LOGIC

Algebra and Logic Pub Date : 2026-08-27 DOI:10.1007/s10469-026-09843-3

I. N. Belousov, V. I. Zenkov

引用次数: 0

Abstract

We consider intersections of π-Hall subgroups in a finite D_π-group all of whose composition factors are sporadic or alternating groups. The main result of the paper in the case under consideration confirms Conjecture 18.31 from the Kourovka Notebook, and also gives an answer to Question 20.123(b).

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具有偶发和交替组成因子的π-群中π-Hall子群的交点

考虑π-Hall子群在组成因子为偶发群或交替群的有限π-群中的交点。本文的主要结果证实了Kourovka Notebook中的猜想18.31，并给出了问题20.123(b)的答案。

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.