Solvable quotients of subdirect products of perfect groups are nilpotent
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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.Keywords
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This publication has 2 references indexed in Scilit:
- Solvable quotients of subdirect products of perfect groups are nilpotentBulletin of the London Mathematical Society, 2018
- On the finite presentation of subdirect products and the nature of residually free groupsAmerican Journal of Mathematics, 2013