On homotopy nilpotency of the octonian plane $\mathbb{O}P^2$
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Published:2021-11-30
Issue:3
Volume:127
Page:
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ISSN:1903-1807
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Container-title:MATHEMATICA SCANDINAVICA
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language:
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Short-container-title:Math. Scand.
Author:
Golasi´nski Marek
Abstract
Let $\mathbb{O}P^2_{(p)}$ be the $p$-localization of the Cayley projective plane $\mathbb{O}P^2$ for a prime $p$ or $p=0$. We show that the homotopy nilpotency class $\textrm{nil} \Omega(\mathbb{O}P^2_{(p)})<\infty $ for $p>2$ and $\textrm{nil} \Omega (\mathbb{O}P^2_{(p)})=1$ for $p>5$ or $p=0$. The homotopy nilpotency of remaining Rosenfeld projective planes are discussed as well.
Publisher
Det Kgl. Bibliotek/Royal Danish Library
Subject
General Mathematics