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HR-length of a free group via polynomial functors
- Publication Year :
- 2021
-
Abstract
- 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 $\mathbb Q.$
- Subjects :
- Mathematics - Group Theory
Mathematics - Algebraic Topology
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2111.11835
- Document Type :
- Working Paper