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arXiv · 1804.02999

Solvable quotients of subdirect products of perfect groups are nilpotent

Keith Kearnes·Peter Mayr·Nik Ruškuc
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Abstract

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

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Keith Kearnes, Peter Mayr, Nik Ruškuc. 2018-04-09. Solvable quotients of subdirect products of perfect groups are nilpotent. https://doi.org/10.1112/blms.12196

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