Solvable quotients of subdirect products of perfect groups are nilpotent
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We prove the statement in the title and exhibit examples of quotients of arbitrary nilpotency class. This answers a question by Holt.
Kearnes , K , Mayr , P & Ruskuc , N 2018 , ' Solvable quotients of subdirect products of perfect groups are nilpotent ' Bulletin of the London Mathematical Society , vol Early View . DOI: 10.1112/blms.12196
Bulletin of the London Mathematical Society
© 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
DescriptionThe first two authors were supported by the National Science Foundation under Grant No. DMS 1500254.
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