论有限群的ω纤维阵的网格代数性

IF 0.3 Q4 MATHEMATICS, APPLIED

Discrete Mathematics and Applications Pub Date : 2023-10-01 DOI:10.1515/dma-2023-0026

Serafim P. Maksakov, M. Sorokina

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引用次数: 0

摘要

摘要对于素数的非空集ω，V. A. Vedernikov 通过函数方法构造了群ω-纤维形式。我们研究了满足δ0 ≤ δ条件的有限群方向为δ的ω纤维网格的网格性质。在网格的网格θ是代数的条件下，所有方向为δ的ω纤维网格和θ值ω卫星的网格ωδFθ被证明是代数的。作为一个推论，ωδF，ωδFτ，τωδF，ωδnF 的ω-纤维形式群的网格被证明是代数的。

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On algebraicity of lattices of ω-fibred formations of finite groups

Abstract For a nonempty set ω of primes, V. A. Vedernikov had constructed ω-fibred formations of groups via function methods. We study lattice properties of ω-fibred formations of finite groups with direction δ satisfying the condition δ0 ≤ δ. The lattice ωδFθ of all ω-fibred formations with direction δ and θ-valued ω-satellite is shown to be algebraic under the condition that the lattice of formations θ is algebraic. As a corollary, the lattices ωδF, ωδFτ, τωδF, ωδnF of ω-fibred formations of groups are shown to be algebraic.

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来源期刊

Discrete Mathematics and Applications MATHEMATICS, APPLIED-

CiteScore

0.60

自引率

20.00%

发文量

期刊介绍： The aim of this journal is to provide the latest information on the development of discrete mathematics in the former USSR to a world-wide readership. The journal will contain papers from the Russian-language journal Diskretnaya Matematika, the only journal of the Russian Academy of Sciences devoted to this field of mathematics. Discrete Mathematics and Applications will cover various subjects in the fields such as combinatorial analysis, graph theory, functional systems theory, cryptology, coding, probabilistic problems of discrete mathematics, algorithms and their complexity, combinatorial and computational problems of number theory and of algebra.