局部紧群中紧元素构成子群的准则

IF 0.5 4区数学 Q3 MATHEMATICS

Archiv der Mathematik Pub Date : 2025-06-17 DOI:10.1007/s00013-025-02137-7

Marwa Gouiaa

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引用次数: 0

摘要

如果拓扑群中的元素包含在紧子群中，则称为紧元或周期元。在一般的局部紧群中，紧元在乘法下是不闭的。我们证明，如果满足一个更一般的周期性，则所有紧元素的集合构成一个子群。

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Criteria for the compact elements in a locally compact group to form a subgroup

An element in a topological group is called compact or periodic if it is contained in a compact subgroup. In a general locally compact group, the compact elements will not be closed under multiplication. We show that the set of all compact elements forms a subgroup if a more general periodicity property is satisfied.

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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.