On periodic compact groups
type: Item
instance of: scholarly article
title: On periodic compact groups
zbMATH Open document ID: 0786.22008
DOI: 10.1007/BF02808012
published in: Israel Journal of Mathematics
publication date: 1994-05-15T00:00:00Z
review text: Under the assumption that there are finitely many finite simple sporadic groups an affirmative answer is given to the following problem due to V. P. Platonov: whether a torsion compact group is locally finite. Moreover it is proved that an infinite compact group contains an infinite abelian subgroup.
Mathematics Subject Classification ID: 22C05
Mathematics Subject Classification ID: 20E18
Mathematics Subject Classification ID: 20F50
Mathematics Subject Classification ID: 20E07
Mathematics Subject Classification ID: 20E32
zbMATH DE Number: 203267
zbMATH Keywords: profinite group
zbMATH Keywords: locally finite group
zbMATH Keywords: torsion compact group
zbMATH Keywords: infinite compact group
Wikidata QID: Q115129288
author: E. Zelmanov
reviewed by: Yurii V. Mukhin
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 203267