HR-length of a free group via polynomial functors

Autor:	Sergei O. Ivanov, Roman Mikhailov
Rok vydání:	2021
Předmět:	Algebra and Number Theory Mathematics::Category Theory FOS: Mathematics Algebraic Topology (math.AT) Mathematics - Algebraic Topology Group Theory (math.GR) Mathematics - Group Theory Mathematics::Algebraic Topology
DOI:	10.48550/arxiv.2111.11835
Popis:	We prove that for a subring $R\subseteq \mathbb Q$ and a free group $F$ of rank at least $2$ the length of the Bousfield's $HR$-localization tower for $F$ is at least $\omega+\omega$. The key ingredient of the proof is the theory of polynomial functors over $\mathbb Q.$
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::c731419684c572baccbf8f88c0638c29 Zobrazit plný text záznamu