Solvable quotients of subdirect products of perfect groups are nilpotent
From MaRDI portal
Publication:4646261
DOI10.1112/BLMS.12196zbMath1441.20025arXiv1804.02999OpenAlexW2795508541WikidataQ129410467 ScholiaQ129410467MaRDI QIDQ4646261
Peter Mayr, Nikola Ruškuc, Keith A. Kearnes
Publication date: 11 January 2019
Published in: Bulletin of the London Mathematical Society (Search for Journal in Brave)
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.
Full work available at URL: https://arxiv.org/abs/1804.02999
Nilpotent groups (20F18) Extensions, wreath products, and other compositions of groups (20E22) Derived series, central series, and generalizations for groups (20F14)
This page was built for publication: Solvable quotients of subdirect products of perfect groups are nilpotent
