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A classification of the abelian minimal closed normal subgroups of locally compact second-countable groups
Journal of Group Theory ( IF 0.466 ) Pub Date : 2020-11-17 , DOI: 10.1515/jgth-2020-0107
Colin D. Reid

We classify the locally compact second-countable (l.c.s.c.) groups 𝐴 that are abelian and topologically characteristically simple. All such groups 𝐴 occur as the monolith of some soluble l.c.s.c. group 𝐺 of derived length at most 3; with known exceptions (specifically, when 𝐴 is Qn or its dual for some nN), we can take 𝐺 to be compactly generated. This amounts to a classification of the possible isomorphism types of abelian chief factors of l.c.s.c. groups, which is of particular interest for the theory of compactly generated locally compact groups.
更新日期:2020-12-01
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