关于有限群论中的转移的说明

IF 0.5 4区数学 Q3 MATHEMATICS

Archiv der Mathematik Pub Date : 2024-06-26 DOI:10.1007/s00013-024-02000-1

Morton E. Harris

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引用次数: 0

摘要

有限群在数学中无处不在，经常作为物体的对称群出现。因此，有限群结构备受关注。转移是将任何有限群 G 转化为 G 的某些交换部分的经典同态。它在有限群结构中有若干基本应用，并启发了有限群结构的新发展。在这篇文章中，我们提出了转移图象的新特征。然后，我们得到了有限群结构中新的结果和旧的转移结果的直接证明。

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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A note on transfer in finite group theory

Finite groups are ubiquitous in mathematics and often arise as symmetry groups of objects. Consequently, finite group structure is of great interest. The transfer is a classical homomorphism of any finite group G into certain commutative sections of G. It has several basic applications in and has inspired new developments in finite group structure. In this article, we present a new characterization of the image of the transfer. Then we obtain new consequences and immediate proofs of old transfer consequences in finite group structure.

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来源期刊

Archiv der Mathematik 数学-数学

CiteScore

1.10

自引率

0.00%

发文量

117

审稿时长

4-8 weeks

期刊介绍： Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.