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<p>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.</p>

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

  • 期刊论文

  • 发表日期：

    2025年6月17日

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  • Marwa Gouiaa

摘要

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.