Solvable quotients of subdirect products of perfect groups are nilpotent

Autor:	Nik Ruskuc, Keith A. Kearnes, Peter Mayr
Přispěvatelé:	University of St Andrews. Centre for Interdisciplinary Research in Computational Algebra, University of St Andrews. Pure Mathematics, University of St Andrews. School of Mathematics and Statistics
Rok vydání:	2018
Předmět:	Pure mathematics Nilpotent General Mathematics T-NDAS 010102 general mathematics Perfect group 20F14 20E22 Quantum Physics Group Theory (math.GR) 01 natural sciences Subgroup Subdirect product 0103 physical sciences FOS: Mathematics QA Mathematics 010307 mathematical physics 0101 mathematics BDC QA Mathematics - Group Theory Quotient Mathematics
Zdroj:	Bulletin of the London Mathematical Society. 50:1016-1026
ISSN:	1469-2120 0024-6093
DOI:	10.1112/blms.12196
Popis:	The first two authors were supported by the National Science Foundation under Grant No. DMS 1500254. We prove the statement in the title and exhibit examples of quotients of arbitrary nilpotency class. This answers a question by Holt. Postprint
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::07d422215fb90a334217251edeedb0ee https://doi.org/10.1112/blms.12196 Zobrazit plný text záznamu Plný text