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Locally compact groups with permutable closed subgroups

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Abstract We give a detailed description of all totally disconnected locally compact groups with only compact elements in which any two closed subgroups are permutable and their product being a… Click to show full abstract

Abstract We give a detailed description of all totally disconnected locally compact groups with only compact elements in which any two closed subgroups are permutable and their product being a closed subgroup again. This amounts to sharpening the classification results in [2, Section 14] while not being dependent upon them.

Keywords: compact groups; closed subgroups; groups permutable; locally compact; permutable closed

Journal Title: Advances in Mathematics
Year Published: 2021

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