包含三角形的断开格伦伯格-凯格尔图的有限四元组

IF 0.4 3区数学 Q4 LOGIC

Algebra and Logic Pub Date : 2024-01-03 DOI:10.1007/s10469-023-09724-z

A. S. Kondrat’ev

引用次数: 0

摘要

我们描述了具有包含三角形的断开格伦伯格-凯格尔图的有限四元组。作为推论，我们举例说明了 Gruenberg-Kegel 图与 3D4(2) 的 Gruenberg-Kegel 图重合的有限群，这将 V. D. Mazurov 对等谱于群 3D4(2) 的有限群的描述推而广之。

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Finite 4-Primary Groups with Disconnected Gruenberg–Kegel Graph Containing a Triangle

We give a description of finite 4-primary groups with disconnected Gruenberg–Kegel graph containing a triangle. As a corollary, finite groups whose Gruenberg–Kegel graph coincides with the Gruenberg–Kegel graph of ³D₄(2) are exemplified, which generalizes V. D. Mazurov’ description of finite groups isospectral to the group ³D₄(2).

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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.