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
Rights
© 2018 London Mathematical Society. This work has been made available online in accordance with the publisher’s policies. This is the author created, accepted version manuscript following peer review and may differ slightly from the final published version. The final published version of this work is available at: https://doi.org/10.1112/blms.12196
Description
The first two authors were supported by the National Science Foundation under Grant No. DMS 1500254.Collections
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