Solvable quotients of subdirect products of perfect groups are nilpotent
Abstract
We prove the statement in the title and exhibit examples of quotients of arbitrary nilpotency class. This answers a question by Holt.
Citation
Kearnes , K , Mayr , P & Ruskuc , N 2018 , ' Solvable quotients of subdirect products of perfect groups are nilpotent ' , Bulletin of the London Mathematical Society , vol. 50 , no. 6 , pp. 1016-1026 . https://doi.org/10.1112/blms.12196
Publication
Bulletin of the London Mathematical Society
Status
Peer reviewed
ISSN
0024-6093Type
Journal article
Description
The first two authors were supported by the National Science Foundation under Grant No. DMS 1500254.Collections
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