一些特殊的共点行动及其结果

IF 0.7 2区 数学 Q2 MATHEMATICS Journal of Pure and Applied Algebra Pub Date : 2024-07-03 DOI:10.1016/j.jpaa.2024.107764
Gülı̇n Ercan , İsmaı̇l Ş. Güloğlu , M. Yası̇r Kizmaz , Danila O. Revin
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引用次数: 0

摘要

让一个群 A 共同作用于群 G。假设定点子群 CG(A) 的阶不能被任意但固定的素数 p 整除。在本文中,我们根据 A 的阶确定了群 G 的 p 长度的边界,并研究了在各种附加假设下,一些 A 不变的 p 子群是如何嵌入 G 的。
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Some special coprime actions and their consequences

Let a group A act on the group G coprimely. Suppose that the order of the fixed point subgroup CG(A) is not divisible by an arbitrary but fixed prime p. In the present paper we determine bounds for the p-length of the group G in terms of the order of A, and investigate how some A-invariant p-subgroups are embedded in G under various additional assumptions.

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来源期刊
CiteScore
1.70
自引率
12.50%
发文量
225
审稿时长
17 days
期刊介绍: The Journal of Pure and Applied Algebra concentrates on that part of algebra likely to be of general mathematical interest: algebraic results with immediate applications, and the development of algebraic theories of sufficiently general relevance to allow for future applications.
期刊最新文献
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