Solvable quotients of subdirect products of perfect groups are nilpotent

Solvable quotients of subdirect products of perfect groups are nilpotent

We prove the statement in the title and exhibit examples of quotients of arbitrary nilpotency class. This answers a question by Holt.

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Veröffentlicht in:The Bulletin of the London Mathematical Society 2018-12, Vol.50 (6), p.1016-1026
Hauptverfasser: Kearnes, Keith, Mayr, Peter, Ruškuc, Nik
Format: Artikel
Sprache:eng
Schlagworte:
20E22 (secondary)
20F14 (primary)
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Zusammenfassung:We prove the statement in the title and exhibit examples of quotients of arbitrary nilpotency class. This answers a question by Holt.
ISSN:0024-6093
1469-2120
DOI:10.1112/blms.12196